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Simplifying 2.5(x + 6) = 3x + -10 Reorder the terms: 2.5(6 + x) = 3x + -10 (6 * 2.5 + x * 2.5) = 3x + -10 (15 + 2.5x) = 3x + -10 Reorder the terms: 15 + 2.5x = -10 + 3x Solving 15 + 2.5x = -10 + 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. 15 + 2.5x + -3x = -10 + 3x + -3x Combine like terms: 2.5x + -3x = -0.5x 15 + -0.5x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -0.5x = -10 + 0 15 + -0.5x = -10 Add '-15' to each side of the equation. 15 + -15 + -0.5x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5x = -10 + -15 -0.5x = -10 + -15 Combine like terms: -10 + -15 = -25 -0.5x = -25 Divide each side by '-0.5'. x = 50 Simplifying x = 50
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