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Simplifying 5(x + -9) = 8(x + 8) + -1x Reorder the terms: 5(-9 + x) = 8(x + 8) + -1x (-9 * 5 + x * 5) = 8(x + 8) + -1x (-45 + 5x) = 8(x + 8) + -1x Reorder the terms: -45 + 5x = 8(8 + x) + -1x -45 + 5x = (8 * 8 + x * 8) + -1x -45 + 5x = (64 + 8x) + -1x Combine like terms: 8x + -1x = 7x -45 + 5x = 64 + 7x Solving -45 + 5x = 64 + 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. -45 + 5x + -7x = 64 + 7x + -7x Combine like terms: 5x + -7x = -2x -45 + -2x = 64 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -2x = 64 + 0 -45 + -2x = 64 Add '45' to each side of the equation. -45 + 45 + -2x = 64 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = 64 + 45 -2x = 64 + 45 Combine like terms: 64 + 45 = 109 -2x = 109 Divide each side by '-2'. x = -54.5 Simplifying x = -54.5
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