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Simplifying -5(x + 2) + 3x = -5(x + -3) + 2 Reorder the terms: -5(2 + x) + 3x = -5(x + -3) + 2 (2 * -5 + x * -5) + 3x = -5(x + -3) + 2 (-10 + -5x) + 3x = -5(x + -3) + 2 Combine like terms: -5x + 3x = -2x -10 + -2x = -5(x + -3) + 2 Reorder the terms: -10 + -2x = -5(-3 + x) + 2 -10 + -2x = (-3 * -5 + x * -5) + 2 -10 + -2x = (15 + -5x) + 2 Reorder the terms: -10 + -2x = 15 + 2 + -5x Combine like terms: 15 + 2 = 17 -10 + -2x = 17 + -5x Solving -10 + -2x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -2x + 5x = 17 + -5x + 5x Combine like terms: -2x + 5x = 3x -10 + 3x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 3x = 17 + 0 -10 + 3x = 17 Add '10' to each side of the equation. -10 + 10 + 3x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 17 + 10 3x = 17 + 10 Combine like terms: 17 + 10 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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