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Simplifying -3(x + 2) + -1(x + -3) = 2(x + 1) Reorder the terms: -3(2 + x) + -1(x + -3) = 2(x + 1) (2 * -3 + x * -3) + -1(x + -3) = 2(x + 1) (-6 + -3x) + -1(x + -3) = 2(x + 1) Reorder the terms: -6 + -3x + -1(-3 + x) = 2(x + 1) -6 + -3x + (-3 * -1 + x * -1) = 2(x + 1) -6 + -3x + (3 + -1x) = 2(x + 1) Reorder the terms: -6 + 3 + -3x + -1x = 2(x + 1) Combine like terms: -6 + 3 = -3 -3 + -3x + -1x = 2(x + 1) Combine like terms: -3x + -1x = -4x -3 + -4x = 2(x + 1) Reorder the terms: -3 + -4x = 2(1 + x) -3 + -4x = (1 * 2 + x * 2) -3 + -4x = (2 + 2x) Solving -3 + -4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -4x + -2x = 2 + 2x + -2x Combine like terms: -4x + -2x = -6x -3 + -6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -6x = 2 + 0 -3 + -6x = 2 Add '3' to each side of the equation. -3 + 3 + -6x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 2 + 3 -6x = 2 + 3 Combine like terms: 2 + 3 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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