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Simplifying 9(x + -1) + -15 = 7(x + -1) + 20 Reorder the terms: 9(-1 + x) + -15 = 7(x + -1) + 20 (-1 * 9 + x * 9) + -15 = 7(x + -1) + 20 (-9 + 9x) + -15 = 7(x + -1) + 20 Reorder the terms: -9 + -15 + 9x = 7(x + -1) + 20 Combine like terms: -9 + -15 = -24 -24 + 9x = 7(x + -1) + 20 Reorder the terms: -24 + 9x = 7(-1 + x) + 20 -24 + 9x = (-1 * 7 + x * 7) + 20 -24 + 9x = (-7 + 7x) + 20 Reorder the terms: -24 + 9x = -7 + 20 + 7x Combine like terms: -7 + 20 = 13 -24 + 9x = 13 + 7x Solving -24 + 9x = 13 + 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. -24 + 9x + -7x = 13 + 7x + -7x Combine like terms: 9x + -7x = 2x -24 + 2x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 2x = 13 + 0 -24 + 2x = 13 Add '24' to each side of the equation. -24 + 24 + 2x = 13 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 13 + 24 2x = 13 + 24 Combine like terms: 13 + 24 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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