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Simplifying -5(x + 2) + 3x = -5(x + -3) + 2x Reorder the terms: -5(2 + x) + 3x = -5(x + -3) + 2x (2 * -5 + x * -5) + 3x = -5(x + -3) + 2x (-10 + -5x) + 3x = -5(x + -3) + 2x Combine like terms: -5x + 3x = -2x -10 + -2x = -5(x + -3) + 2x Reorder the terms: -10 + -2x = -5(-3 + x) + 2x -10 + -2x = (-3 * -5 + x * -5) + 2x -10 + -2x = (15 + -5x) + 2x Combine like terms: -5x + 2x = -3x -10 + -2x = 15 + -3x Solving -10 + -2x = 15 + -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. -10 + -2x + 3x = 15 + -3x + 3x Combine like terms: -2x + 3x = 1x -10 + 1x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 1x = 15 + 0 -10 + 1x = 15 Add '10' to each side of the equation. -10 + 10 + 1x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 15 + 10 1x = 15 + 10 Combine like terms: 15 + 10 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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