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Simplifying 9(7 + -3x + -4x) + 8(5x + 7) = 27 Combine like terms: -3x + -4x = -7x 9(7 + -7x) + 8(5x + 7) = 27 (7 * 9 + -7x * 9) + 8(5x + 7) = 27 (63 + -63x) + 8(5x + 7) = 27 Reorder the terms: 63 + -63x + 8(7 + 5x) = 27 63 + -63x + (7 * 8 + 5x * 8) = 27 63 + -63x + (56 + 40x) = 27 Reorder the terms: 63 + 56 + -63x + 40x = 27 Combine like terms: 63 + 56 = 119 119 + -63x + 40x = 27 Combine like terms: -63x + 40x = -23x 119 + -23x = 27 Solving 119 + -23x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + -23x = 27 + -119 Combine like terms: 119 + -119 = 0 0 + -23x = 27 + -119 -23x = 27 + -119 Combine like terms: 27 + -119 = -92 -23x = -92 Divide each side by '-23'. x = 4 Simplifying x = 4
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