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Simplifying 2.5(x + -10) = 5(2x + -3) + 0.75 Reorder the terms: 2.5(-10 + x) = 5(2x + -3) + 0.75 (-10 * 2.5 + x * 2.5) = 5(2x + -3) + 0.75 (-25 + 2.5x) = 5(2x + -3) + 0.75 Reorder the terms: -25 + 2.5x = 5(-3 + 2x) + 0.75 -25 + 2.5x = (-3 * 5 + 2x * 5) + 0.75 -25 + 2.5x = (-15 + 10x) + 0.75 Reorder the terms: -25 + 2.5x = -15 + 0.75 + 10x Combine like terms: -15 + 0.75 = -14.25 -25 + 2.5x = -14.25 + 10x Solving -25 + 2.5x = -14.25 + 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. -25 + 2.5x + -10x = -14.25 + 10x + -10x Combine like terms: 2.5x + -10x = -7.5x -25 + -7.5x = -14.25 + 10x + -10x Combine like terms: 10x + -10x = 0 -25 + -7.5x = -14.25 + 0 -25 + -7.5x = -14.25 Add '25' to each side of the equation. -25 + 25 + -7.5x = -14.25 + 25 Combine like terms: -25 + 25 = 0 0 + -7.5x = -14.25 + 25 -7.5x = -14.25 + 25 Combine like terms: -14.25 + 25 = 10.75 -7.5x = 10.75 Divide each side by '-7.5'. x = -1.433333333 Simplifying x = -1.433333333
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