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Simplifying 3(x + 1) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) Reorder the terms: 3(1 + x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) (1 * 3 + x * 3) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) (3 + 3x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) Reorder the terms: 3 + 3x + -1(-9 + x) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) 3 + 3x + (-9 * -1 + x * -1) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) 3 + 3x + (9 + -1x) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x) Reorder the terms: 3 + 3x + 9 + -1x + (3 + x) = (x + 4) + (x + 2) + -1(11 + -1x) Remove parenthesis around (3 + x) 3 + 3x + 9 + -1x + 3 + x = (x + 4) + (x + 2) + -1(11 + -1x) Reorder the terms: 3 + 9 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x) Combine like terms: 3 + 9 = 12 12 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x) Combine like terms: 12 + 3 = 15 15 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x) Combine like terms: 3x + -1x = 2x 15 + 2x + x = (x + 4) + (x + 2) + -1(11 + -1x) Combine like terms: 2x + x = 3x 15 + 3x = (x + 4) + (x + 2) + -1(11 + -1x) Reorder the terms: 15 + 3x = (4 + x) + (x + 2) + -1(11 + -1x) Remove parenthesis around (4 + x) 15 + 3x = 4 + x + (x + 2) + -1(11 + -1x) Reorder the terms: 15 + 3x = 4 + x + (2 + x) + -1(11 + -1x) Remove parenthesis around (2 + x) 15 + 3x = 4 + x + 2 + x + -1(11 + -1x) 15 + 3x = 4 + x + 2 + x + (11 * -1 + -1x * -1) 15 + 3x = 4 + x + 2 + x + (-11 + 1x) Reorder the terms: 15 + 3x = 4 + 2 + -11 + x + x + 1x Combine like terms: 4 + 2 = 6 15 + 3x = 6 + -11 + x + x + 1x Combine like terms: 6 + -11 = -5 15 + 3x = -5 + x + x + 1x Combine like terms: x + x = 2x 15 + 3x = -5 + 2x + 1x Combine like terms: 2x + 1x = 3x 15 + 3x = -5 + 3x Add '-3x' to each side of the equation. 15 + 3x + -3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 0 = -5 + 3x + -3x 15 = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 = -5 + 0 15 = -5 Solving 15 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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