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Simplifying 9(x + 8) + -1(7 + -7x) = 15x Reorder the terms: 9(8 + x) + -1(7 + -7x) = 15x (8 * 9 + x * 9) + -1(7 + -7x) = 15x (72 + 9x) + -1(7 + -7x) = 15x 72 + 9x + (7 * -1 + -7x * -1) = 15x 72 + 9x + (-7 + 7x) = 15x Reorder the terms: 72 + -7 + 9x + 7x = 15x Combine like terms: 72 + -7 = 65 65 + 9x + 7x = 15x Combine like terms: 9x + 7x = 16x 65 + 16x = 15x Solving 65 + 16x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 65 + 16x + -15x = 15x + -15x Combine like terms: 16x + -15x = 1x 65 + 1x = 15x + -15x Combine like terms: 15x + -15x = 0 65 + 1x = 0 Add '-65' to each side of the equation. 65 + -65 + 1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 1x = 0 + -65 1x = 0 + -65 Combine like terms: 0 + -65 = -65 1x = -65 Divide each side by '1'. x = -65 Simplifying x = -65
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