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