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