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Simplifying 3(x + -5) = 2(4x + 12.5) Reorder the terms: 3(-5 + x) = 2(4x + 12.5) (-5 * 3 + x * 3) = 2(4x + 12.5) (-15 + 3x) = 2(4x + 12.5) Reorder the terms: -15 + 3x = 2(12.5 + 4x) -15 + 3x = (12.5 * 2 + 4x * 2) -15 + 3x = (25 + 8x) Solving -15 + 3x = 25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 3x + -8x = 25 + 8x + -8x Combine like terms: 3x + -8x = -5x -15 + -5x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -5x = 25 + 0 -15 + -5x = 25 Add '15' to each side of the equation. -15 + 15 + -5x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 25 + 15 -5x = 25 + 15 Combine like terms: 25 + 15 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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