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Simplifying 3(x + 1) + -5(x + -2) = -2(x + -7) Reorder the terms: 3(1 + x) + -5(x + -2) = -2(x + -7) (1 * 3 + x * 3) + -5(x + -2) = -2(x + -7) (3 + 3x) + -5(x + -2) = -2(x + -7) Reorder the terms: 3 + 3x + -5(-2 + x) = -2(x + -7) 3 + 3x + (-2 * -5 + x * -5) = -2(x + -7) 3 + 3x + (10 + -5x) = -2(x + -7) Reorder the terms: 3 + 10 + 3x + -5x = -2(x + -7) Combine like terms: 3 + 10 = 13 13 + 3x + -5x = -2(x + -7) Combine like terms: 3x + -5x = -2x 13 + -2x = -2(x + -7) Reorder the terms: 13 + -2x = -2(-7 + x) 13 + -2x = (-7 * -2 + x * -2) 13 + -2x = (14 + -2x) Add '2x' to each side of the equation. 13 + -2x + 2x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 0 = 14 + -2x + 2x 13 = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 13 = 14 + 0 13 = 14 Solving 13 = 14 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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