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Simplifying 2.5(3x + -4) = 3.5x + -6x Reorder the terms: 2.5(-4 + 3x) = 3.5x + -6x (-4 * 2.5 + 3x * 2.5) = 3.5x + -6x (-10 + 7.5x) = 3.5x + -6x Combine like terms: 3.5x + -6x = -2.5x -10 + 7.5x = -2.5x Solving -10 + 7.5x = -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -10 + 7.5x + 2.5x = -2.5x + 2.5x Combine like terms: 7.5x + 2.5x = 10x -10 + 10x = -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -10 + 10x = 0.0 Add '10' to each side of the equation. -10 + 10 + 10x = 0.0 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 0.0 + 10 10x = 0.0 + 10 Combine like terms: 0.0 + 10 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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