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Simplifying 5x + -2(2x + -1) = 2(x + -1) + -14 Reorder the terms: 5x + -2(-1 + 2x) = 2(x + -1) + -14 5x + (-1 * -2 + 2x * -2) = 2(x + -1) + -14 5x + (2 + -4x) = 2(x + -1) + -14 Reorder the terms: 2 + 5x + -4x = 2(x + -1) + -14 Combine like terms: 5x + -4x = 1x 2 + 1x = 2(x + -1) + -14 Reorder the terms: 2 + 1x = 2(-1 + x) + -14 2 + 1x = (-1 * 2 + x * 2) + -14 2 + 1x = (-2 + 2x) + -14 Reorder the terms: 2 + 1x = -2 + -14 + 2x Combine like terms: -2 + -14 = -16 2 + 1x = -16 + 2x Solving 2 + 1x = -16 + 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. 2 + 1x + -2x = -16 + 2x + -2x Combine like terms: 1x + -2x = -1x 2 + -1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -1x = -16 + 0 2 + -1x = -16 Add '-2' to each side of the equation. 2 + -2 + -1x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -16 + -2 -1x = -16 + -2 Combine like terms: -16 + -2 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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