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