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Simplifying 3(x + -1) + -2(2x + 3) = 5(x + 3) Reorder the terms: 3(-1 + x) + -2(2x + 3) = 5(x + 3) (-1 * 3 + x * 3) + -2(2x + 3) = 5(x + 3) (-3 + 3x) + -2(2x + 3) = 5(x + 3) Reorder the terms: -3 + 3x + -2(3 + 2x) = 5(x + 3) -3 + 3x + (3 * -2 + 2x * -2) = 5(x + 3) -3 + 3x + (-6 + -4x) = 5(x + 3) Reorder the terms: -3 + -6 + 3x + -4x = 5(x + 3) Combine like terms: -3 + -6 = -9 -9 + 3x + -4x = 5(x + 3) Combine like terms: 3x + -4x = -1x -9 + -1x = 5(x + 3) Reorder the terms: -9 + -1x = 5(3 + x) -9 + -1x = (3 * 5 + x * 5) -9 + -1x = (15 + 5x) Solving -9 + -1x = 15 + 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. -9 + -1x + -5x = 15 + 5x + -5x Combine like terms: -1x + -5x = -6x -9 + -6x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -6x = 15 + 0 -9 + -6x = 15 Add '9' to each side of the equation. -9 + 9 + -6x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 15 + 9 -6x = 15 + 9 Combine like terms: 15 + 9 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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