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Simplifying -2(x + -6) + -5 = 2(x + 1) + 1 Reorder the terms: -2(-6 + x) + -5 = 2(x + 1) + 1 (-6 * -2 + x * -2) + -5 = 2(x + 1) + 1 (12 + -2x) + -5 = 2(x + 1) + 1 Reorder the terms: 12 + -5 + -2x = 2(x + 1) + 1 Combine like terms: 12 + -5 = 7 7 + -2x = 2(x + 1) + 1 Reorder the terms: 7 + -2x = 2(1 + x) + 1 7 + -2x = (1 * 2 + x * 2) + 1 7 + -2x = (2 + 2x) + 1 Reorder the terms: 7 + -2x = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 7 + -2x = 3 + 2x Solving 7 + -2x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x + -2x = 3 + 2x + -2x Combine like terms: -2x + -2x = -4x 7 + -4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -4x = 3 + 0 7 + -4x = 3 Add '-7' to each side of the equation. 7 + -7 + -4x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 3 + -7 -4x = 3 + -7 Combine like terms: 3 + -7 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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