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Simplifying 80 = -5(x + -4.5) * 2 + 101.25 Reorder the terms: 80 = -5(-4.5 + x) * 2 + 101.25 Reorder the terms for easier multiplication: 80 = -5 * 2(-4.5 + x) + 101.25 Multiply -5 * 2 80 = -10(-4.5 + x) + 101.25 80 = (-4.5 * -10 + x * -10) + 101.25 80 = (45 + -10x) + 101.25 Reorder the terms: 80 = 45 + 101.25 + -10x Combine like terms: 45 + 101.25 = 146.25 80 = 146.25 + -10x Solving 80 = 146.25 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 80 + 10x = 146.25 + -10x + 10x Combine like terms: -10x + 10x = 0 80 + 10x = 146.25 + 0 80 + 10x = 146.25 Add '-80' to each side of the equation. 80 + -80 + 10x = 146.25 + -80 Combine like terms: 80 + -80 = 0 0 + 10x = 146.25 + -80 10x = 146.25 + -80 Combine like terms: 146.25 + -80 = 66.25 10x = 66.25 Divide each side by '10'. x = 6.625 Simplifying x = 6.625
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