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