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Simplifying 15 + 6x = 7(x + -2) Reorder the terms: 15 + 6x = 7(-2 + x) 15 + 6x = (-2 * 7 + x * 7) 15 + 6x = (-14 + 7x) Solving 15 + 6x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 6x + -7x = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x 15 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -1x = -14 + 0 15 + -1x = -14 Add '-15' to each side of the equation. 15 + -15 + -1x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -14 + -15 -1x = -14 + -15 Combine like terms: -14 + -15 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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