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Simplifying 5(2.5x + -1) = 3(1.5x + -4) Reorder the terms: 5(-1 + 2.5x) = 3(1.5x + -4) (-1 * 5 + 2.5x * 5) = 3(1.5x + -4) (-5 + 12.5x) = 3(1.5x + -4) Reorder the terms: -5 + 12.5x = 3(-4 + 1.5x) -5 + 12.5x = (-4 * 3 + 1.5x * 3) -5 + 12.5x = (-12 + 4.5x) Solving -5 + 12.5x = -12 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -5 + 12.5x + -4.5x = -12 + 4.5x + -4.5x Combine like terms: 12.5x + -4.5x = 8x -5 + 8x = -12 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -5 + 8x = -12 + 0.0 -5 + 8x = -12 Add '5' to each side of the equation. -5 + 5 + 8x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -12 + 5 8x = -12 + 5 Combine like terms: -12 + 5 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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