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Simplifying 7x + -1(6x + -9) = 2x + -15 Reorder the terms: 7x + -1(-9 + 6x) = 2x + -15 7x + (-9 * -1 + 6x * -1) = 2x + -15 7x + (9 + -6x) = 2x + -15 Reorder the terms: 9 + 7x + -6x = 2x + -15 Combine like terms: 7x + -6x = 1x 9 + 1x = 2x + -15 Reorder the terms: 9 + 1x = -15 + 2x Solving 9 + 1x = -15 + 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. 9 + 1x + -2x = -15 + 2x + -2x Combine like terms: 1x + -2x = -1x 9 + -1x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1x = -15 + 0 9 + -1x = -15 Add '-9' to each side of the equation. 9 + -9 + -1x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -15 + -9 -1x = -15 + -9 Combine like terms: -15 + -9 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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