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Simplifying -3(x + 2) + -5(x + -3) = 3(5x + -2) Reorder the terms: -3(2 + x) + -5(x + -3) = 3(5x + -2) (2 * -3 + x * -3) + -5(x + -3) = 3(5x + -2) (-6 + -3x) + -5(x + -3) = 3(5x + -2) Reorder the terms: -6 + -3x + -5(-3 + x) = 3(5x + -2) -6 + -3x + (-3 * -5 + x * -5) = 3(5x + -2) -6 + -3x + (15 + -5x) = 3(5x + -2) Reorder the terms: -6 + 15 + -3x + -5x = 3(5x + -2) Combine like terms: -6 + 15 = 9 9 + -3x + -5x = 3(5x + -2) Combine like terms: -3x + -5x = -8x 9 + -8x = 3(5x + -2) Reorder the terms: 9 + -8x = 3(-2 + 5x) 9 + -8x = (-2 * 3 + 5x * 3) 9 + -8x = (-6 + 15x) Solving 9 + -8x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + -8x + -15x = -6 + 15x + -15x Combine like terms: -8x + -15x = -23x 9 + -23x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -23x = -6 + 0 9 + -23x = -6 Add '-9' to each side of the equation. 9 + -9 + -23x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -23x = -6 + -9 -23x = -6 + -9 Combine like terms: -6 + -9 = -15 -23x = -15 Divide each side by '-23'. x = 0.652173913 Simplifying x = 0.652173913
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