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Simplifying -5(x + 2.5) = -4x + -7.5 Reorder the terms: -5(2.5 + x) = -4x + -7.5 (2.5 * -5 + x * -5) = -4x + -7.5 (-12.5 + -5x) = -4x + -7.5 Reorder the terms: -12.5 + -5x = -7.5 + -4x Solving -12.5 + -5x = -7.5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12.5 + -5x + 4x = -7.5 + -4x + 4x Combine like terms: -5x + 4x = -1x -12.5 + -1x = -7.5 + -4x + 4x Combine like terms: -4x + 4x = 0 -12.5 + -1x = -7.5 + 0 -12.5 + -1x = -7.5 Add '12.5' to each side of the equation. -12.5 + 12.5 + -1x = -7.5 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + -1x = -7.5 + 12.5 -1x = -7.5 + 12.5 Combine like terms: -7.5 + 12.5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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