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Simplifying 2.5(x + -12) = 3(x + -10) + -1x Reorder the terms: 2.5(-12 + x) = 3(x + -10) + -1x (-12 * 2.5 + x * 2.5) = 3(x + -10) + -1x (-30 + 2.5x) = 3(x + -10) + -1x Reorder the terms: -30 + 2.5x = 3(-10 + x) + -1x -30 + 2.5x = (-10 * 3 + x * 3) + -1x -30 + 2.5x = (-30 + 3x) + -1x Combine like terms: 3x + -1x = 2x -30 + 2.5x = -30 + 2x Add '30' to each side of the equation. -30 + 30 + 2.5x = -30 + 30 + 2x Combine like terms: -30 + 30 = 0 0 + 2.5x = -30 + 30 + 2x 2.5x = -30 + 30 + 2x Combine like terms: -30 + 30 = 0 2.5x = 0 + 2x 2.5x = 2x Solving 2.5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.5x + -2x = 2x + -2x Combine like terms: 2.5x + -2x = 0.5x 0.5x = 2x + -2x Combine like terms: 2x + -2x = 0 0.5x = 0 Divide each side by '0.5'. x = 0 Simplifying x = 0
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