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Simplifying -2(x + -6) + 1 = 2(x + -1) + 64 Reorder the terms: -2(-6 + x) + 1 = 2(x + -1) + 64 (-6 * -2 + x * -2) + 1 = 2(x + -1) + 64 (12 + -2x) + 1 = 2(x + -1) + 64 Reorder the terms: 12 + 1 + -2x = 2(x + -1) + 64 Combine like terms: 12 + 1 = 13 13 + -2x = 2(x + -1) + 64 Reorder the terms: 13 + -2x = 2(-1 + x) + 64 13 + -2x = (-1 * 2 + x * 2) + 64 13 + -2x = (-2 + 2x) + 64 Reorder the terms: 13 + -2x = -2 + 64 + 2x Combine like terms: -2 + 64 = 62 13 + -2x = 62 + 2x Solving 13 + -2x = 62 + 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. 13 + -2x + -2x = 62 + 2x + -2x Combine like terms: -2x + -2x = -4x 13 + -4x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -4x = 62 + 0 13 + -4x = 62 Add '-13' to each side of the equation. 13 + -13 + -4x = 62 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 62 + -13 -4x = 62 + -13 Combine like terms: 62 + -13 = 49 -4x = 49 Divide each side by '-4'. x = -12.25 Simplifying x = -12.25
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