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Simplifying 5(x + 8) + -7x = -2(x + -4) Reorder the terms: 5(8 + x) + -7x = -2(x + -4) (8 * 5 + x * 5) + -7x = -2(x + -4) (40 + 5x) + -7x = -2(x + -4) Combine like terms: 5x + -7x = -2x 40 + -2x = -2(x + -4) Reorder the terms: 40 + -2x = -2(-4 + x) 40 + -2x = (-4 * -2 + x * -2) 40 + -2x = (8 + -2x) Add '2x' to each side of the equation. 40 + -2x + 2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 0 = 8 + -2x + 2x 40 = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 40 = 8 + 0 40 = 8 Solving 40 = 8 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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