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Simplifying 5x + -2(x + -6) = 2x + 2(x + -1) Reorder the terms: 5x + -2(-6 + x) = 2x + 2(x + -1) 5x + (-6 * -2 + x * -2) = 2x + 2(x + -1) 5x + (12 + -2x) = 2x + 2(x + -1) Reorder the terms: 12 + 5x + -2x = 2x + 2(x + -1) Combine like terms: 5x + -2x = 3x 12 + 3x = 2x + 2(x + -1) Reorder the terms: 12 + 3x = 2x + 2(-1 + x) 12 + 3x = 2x + (-1 * 2 + x * 2) 12 + 3x = 2x + (-2 + 2x) Reorder the terms: 12 + 3x = -2 + 2x + 2x Combine like terms: 2x + 2x = 4x 12 + 3x = -2 + 4x Solving 12 + 3x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 3x + -4x = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x 12 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -1x = -2 + 0 12 + -1x = -2 Add '-12' to each side of the equation. 12 + -12 + -1x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -2 + -12 -1x = -2 + -12 Combine like terms: -2 + -12 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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