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Simplifying -2(x + -6) + -5 = 3(x + -1) + 1 Reorder the terms: -2(-6 + x) + -5 = 3(x + -1) + 1 (-6 * -2 + x * -2) + -5 = 3(x + -1) + 1 (12 + -2x) + -5 = 3(x + -1) + 1 Reorder the terms: 12 + -5 + -2x = 3(x + -1) + 1 Combine like terms: 12 + -5 = 7 7 + -2x = 3(x + -1) + 1 Reorder the terms: 7 + -2x = 3(-1 + x) + 1 7 + -2x = (-1 * 3 + x * 3) + 1 7 + -2x = (-3 + 3x) + 1 Reorder the terms: 7 + -2x = -3 + 1 + 3x Combine like terms: -3 + 1 = -2 7 + -2x = -2 + 3x Solving 7 + -2x = -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. 7 + -2x + -3x = -2 + 3x + -3x Combine like terms: -2x + -3x = -5x 7 + -5x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -5x = -2 + 0 7 + -5x = -2 Add '-7' to each side of the equation. 7 + -7 + -5x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -2 + -7 -5x = -2 + -7 Combine like terms: -2 + -7 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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