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Simplifying 3(x + -1) = 2(x + -3) + -1 Reorder the terms: 3(-1 + x) = 2(x + -3) + -1 (-1 * 3 + x * 3) = 2(x + -3) + -1 (-3 + 3x) = 2(x + -3) + -1 Reorder the terms: -3 + 3x = 2(-3 + x) + -1 -3 + 3x = (-3 * 2 + x * 2) + -1 -3 + 3x = (-6 + 2x) + -1 Reorder the terms: -3 + 3x = -6 + -1 + 2x Combine like terms: -6 + -1 = -7 -3 + 3x = -7 + 2x Solving -3 + 3x = -7 + 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 = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -3 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1x = -7 + 0 -3 + 1x = -7 Add '3' to each side of the equation. -3 + 3 + 1x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -7 + 3 1x = -7 + 3 Combine like terms: -7 + 3 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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