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Simplifying 5(x + 1) + -3x = 2(x + -5) + 2 Reorder the terms: 5(1 + x) + -3x = 2(x + -5) + 2 (1 * 5 + x * 5) + -3x = 2(x + -5) + 2 (5 + 5x) + -3x = 2(x + -5) + 2 Combine like terms: 5x + -3x = 2x 5 + 2x = 2(x + -5) + 2 Reorder the terms: 5 + 2x = 2(-5 + x) + 2 5 + 2x = (-5 * 2 + x * 2) + 2 5 + 2x = (-10 + 2x) + 2 Reorder the terms: 5 + 2x = -10 + 2 + 2x Combine like terms: -10 + 2 = -8 5 + 2x = -8 + 2x Add '-2x' to each side of the equation. 5 + 2x + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 0 = -8 + 2x + -2x 5 = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 = -8 + 0 5 = -8 Solving 5 = -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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