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Simplifying 2.5(x + -2) + 3x = 3(x + 2) + -10 Reorder the terms: 2.5(-2 + x) + 3x = 3(x + 2) + -10 (-2 * 2.5 + x * 2.5) + 3x = 3(x + 2) + -10 (-5 + 2.5x) + 3x = 3(x + 2) + -10 Combine like terms: 2.5x + 3x = 5.5x -5 + 5.5x = 3(x + 2) + -10 Reorder the terms: -5 + 5.5x = 3(2 + x) + -10 -5 + 5.5x = (2 * 3 + x * 3) + -10 -5 + 5.5x = (6 + 3x) + -10 Reorder the terms: -5 + 5.5x = 6 + -10 + 3x Combine like terms: 6 + -10 = -4 -5 + 5.5x = -4 + 3x Solving -5 + 5.5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5.5x + -3x = -4 + 3x + -3x Combine like terms: 5.5x + -3x = 2.5x -5 + 2.5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2.5x = -4 + 0 -5 + 2.5x = -4 Add '5' to each side of the equation. -5 + 5 + 2.5x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 2.5x = -4 + 5 2.5x = -4 + 5 Combine like terms: -4 + 5 = 1 2.5x = 1 Divide each side by '2.5'. x = 0.4 Simplifying x = 0.4
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