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Simplifying -5x + 2(13 + 5x) + -1(12 + 6x) = 4 -5x + (13 * 2 + 5x * 2) + -1(12 + 6x) = 4 -5x + (26 + 10x) + -1(12 + 6x) = 4 -5x + 26 + 10x + (12 * -1 + 6x * -1) = 4 -5x + 26 + 10x + (-12 + -6x) = 4 Reorder the terms: 26 + -12 + -5x + 10x + -6x = 4 Combine like terms: 26 + -12 = 14 14 + -5x + 10x + -6x = 4 Combine like terms: -5x + 10x = 5x 14 + 5x + -6x = 4 Combine like terms: 5x + -6x = -1x 14 + -1x = 4 Solving 14 + -1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 4 + -14 -1x = 4 + -14 Combine like terms: 4 + -14 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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