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Simplifying 9(3x + -8) + 7(x + -1) = 15 + 8(x + -2) Reorder the terms: 9(-8 + 3x) + 7(x + -1) = 15 + 8(x + -2) (-8 * 9 + 3x * 9) + 7(x + -1) = 15 + 8(x + -2) (-72 + 27x) + 7(x + -1) = 15 + 8(x + -2) Reorder the terms: -72 + 27x + 7(-1 + x) = 15 + 8(x + -2) -72 + 27x + (-1 * 7 + x * 7) = 15 + 8(x + -2) -72 + 27x + (-7 + 7x) = 15 + 8(x + -2) Reorder the terms: -72 + -7 + 27x + 7x = 15 + 8(x + -2) Combine like terms: -72 + -7 = -79 -79 + 27x + 7x = 15 + 8(x + -2) Combine like terms: 27x + 7x = 34x -79 + 34x = 15 + 8(x + -2) Reorder the terms: -79 + 34x = 15 + 8(-2 + x) -79 + 34x = 15 + (-2 * 8 + x * 8) -79 + 34x = 15 + (-16 + 8x) Combine like terms: 15 + -16 = -1 -79 + 34x = -1 + 8x Solving -79 + 34x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -79 + 34x + -8x = -1 + 8x + -8x Combine like terms: 34x + -8x = 26x -79 + 26x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -79 + 26x = -1 + 0 -79 + 26x = -1 Add '79' to each side of the equation. -79 + 79 + 26x = -1 + 79 Combine like terms: -79 + 79 = 0 0 + 26x = -1 + 79 26x = -1 + 79 Combine like terms: -1 + 79 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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