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Simplifying -45 = 8(4x + -7) + 7(5x + -8) Reorder the terms: -45 = 8(-7 + 4x) + 7(5x + -8) -45 = (-7 * 8 + 4x * 8) + 7(5x + -8) -45 = (-56 + 32x) + 7(5x + -8) Reorder the terms: -45 = -56 + 32x + 7(-8 + 5x) -45 = -56 + 32x + (-8 * 7 + 5x * 7) -45 = -56 + 32x + (-56 + 35x) Reorder the terms: -45 = -56 + -56 + 32x + 35x Combine like terms: -56 + -56 = -112 -45 = -112 + 32x + 35x Combine like terms: 32x + 35x = 67x -45 = -112 + 67x Solving -45 = -112 + 67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67x' to each side of the equation. -45 + -67x = -112 + 67x + -67x Combine like terms: 67x + -67x = 0 -45 + -67x = -112 + 0 -45 + -67x = -112 Add '45' to each side of the equation. -45 + 45 + -67x = -112 + 45 Combine like terms: -45 + 45 = 0 0 + -67x = -112 + 45 -67x = -112 + 45 Combine like terms: -112 + 45 = -67 -67x = -67 Divide each side by '-67'. x = 1 Simplifying x = 1
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