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Simplifying -1(x + -5) + -3(2x + -1) = 3(x + 1) + -5 Reorder the terms: -1(-5 + x) + -3(2x + -1) = 3(x + 1) + -5 (-5 * -1 + x * -1) + -3(2x + -1) = 3(x + 1) + -5 (5 + -1x) + -3(2x + -1) = 3(x + 1) + -5 Reorder the terms: 5 + -1x + -3(-1 + 2x) = 3(x + 1) + -5 5 + -1x + (-1 * -3 + 2x * -3) = 3(x + 1) + -5 5 + -1x + (3 + -6x) = 3(x + 1) + -5 Reorder the terms: 5 + 3 + -1x + -6x = 3(x + 1) + -5 Combine like terms: 5 + 3 = 8 8 + -1x + -6x = 3(x + 1) + -5 Combine like terms: -1x + -6x = -7x 8 + -7x = 3(x + 1) + -5 Reorder the terms: 8 + -7x = 3(1 + x) + -5 8 + -7x = (1 * 3 + x * 3) + -5 8 + -7x = (3 + 3x) + -5 Reorder the terms: 8 + -7x = 3 + -5 + 3x Combine like terms: 3 + -5 = -2 8 + -7x = -2 + 3x Solving 8 + -7x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -7x + -3x = -2 + 3x + -3x Combine like terms: -7x + -3x = -10x 8 + -10x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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