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Simplifying 0.75(6x + -8) = 5(x + -2.5) Reorder the terms: 0.75(-8 + 6x) = 5(x + -2.5) (-8 * 0.75 + 6x * 0.75) = 5(x + -2.5) (-6 + 4.5x) = 5(x + -2.5) Reorder the terms: -6 + 4.5x = 5(-2.5 + x) -6 + 4.5x = (-2.5 * 5 + x * 5) -6 + 4.5x = (-12.5 + 5x) Solving -6 + 4.5x = -12.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4.5x + -5x = -12.5 + 5x + -5x Combine like terms: 4.5x + -5x = -0.5x -6 + -0.5x = -12.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -0.5x = -12.5 + 0 -6 + -0.5x = -12.5 Add '6' to each side of the equation. -6 + 6 + -0.5x = -12.5 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5x = -12.5 + 6 -0.5x = -12.5 + 6 Combine like terms: -12.5 + 6 = -6.5 -0.5x = -6.5 Divide each side by '-0.5'. x = 13 Simplifying x = 13
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