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Simplifying 2(x + -3) + 7 = 3(x + -1) Reorder the terms: 2(-3 + x) + 7 = 3(x + -1) (-3 * 2 + x * 2) + 7 = 3(x + -1) (-6 + 2x) + 7 = 3(x + -1) Reorder the terms: -6 + 7 + 2x = 3(x + -1) Combine like terms: -6 + 7 = 1 1 + 2x = 3(x + -1) Reorder the terms: 1 + 2x = 3(-1 + x) 1 + 2x = (-1 * 3 + x * 3) 1 + 2x = (-3 + 3x) Solving 1 + 2x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 2x + -3x = -3 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = -3 + 0 1 + -1x = -3 Add '-1' to each side of the equation. 1 + -1 + -1x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -3 + -1 -1x = -3 + -1 Combine like terms: -3 + -1 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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