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Simplifying 1 + -2(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 1 + -2(-6 + x) + 1 = 2(x + -10) + -3 1 + (-6 * -2 + x * -2) + 1 = 2(x + -10) + -3 1 + (12 + -2x) + 1 = 2(x + -10) + -3 Reorder the terms: 1 + 12 + 1 + -2x = 2(x + -10) + -3 Combine like terms: 1 + 12 = 13 13 + 1 + -2x = 2(x + -10) + -3 Combine like terms: 13 + 1 = 14 14 + -2x = 2(x + -10) + -3 Reorder the terms: 14 + -2x = 2(-10 + x) + -3 14 + -2x = (-10 * 2 + x * 2) + -3 14 + -2x = (-20 + 2x) + -3 Reorder the terms: 14 + -2x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 14 + -2x = -23 + 2x Solving 14 + -2x = -23 + 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. 14 + -2x + -2x = -23 + 2x + -2x Combine like terms: -2x + -2x = -4x 14 + -4x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -4x = -23 + 0 14 + -4x = -23 Add '-14' to each side of the equation. 14 + -14 + -4x = -23 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -23 + -14 -4x = -23 + -14 Combine like terms: -23 + -14 = -37 -4x = -37 Divide each side by '-4'. x = 9.25 Simplifying x = 9.25
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