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Simplifying 3x + 2(3x + 11) = 4(2x + -5) + -1(2 + -1x) Reorder the terms: 3x + 2(11 + 3x) = 4(2x + -5) + -1(2 + -1x) 3x + (11 * 2 + 3x * 2) = 4(2x + -5) + -1(2 + -1x) 3x + (22 + 6x) = 4(2x + -5) + -1(2 + -1x) Reorder the terms: 22 + 3x + 6x = 4(2x + -5) + -1(2 + -1x) Combine like terms: 3x + 6x = 9x 22 + 9x = 4(2x + -5) + -1(2 + -1x) Reorder the terms: 22 + 9x = 4(-5 + 2x) + -1(2 + -1x) 22 + 9x = (-5 * 4 + 2x * 4) + -1(2 + -1x) 22 + 9x = (-20 + 8x) + -1(2 + -1x) 22 + 9x = -20 + 8x + (2 * -1 + -1x * -1) 22 + 9x = -20 + 8x + (-2 + 1x) Reorder the terms: 22 + 9x = -20 + -2 + 8x + 1x Combine like terms: -20 + -2 = -22 22 + 9x = -22 + 8x + 1x Combine like terms: 8x + 1x = 9x 22 + 9x = -22 + 9x Add '-9x' to each side of the equation. 22 + 9x + -9x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + 0 = -22 + 9x + -9x 22 = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 22 = -22 + 0 22 = -22 Solving 22 = -22 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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