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Simplifying -3(x + -2) + 7 = 12 + -2(x + 3) Reorder the terms: -3(-2 + x) + 7 = 12 + -2(x + 3) (-2 * -3 + x * -3) + 7 = 12 + -2(x + 3) (6 + -3x) + 7 = 12 + -2(x + 3) Reorder the terms: 6 + 7 + -3x = 12 + -2(x + 3) Combine like terms: 6 + 7 = 13 13 + -3x = 12 + -2(x + 3) Reorder the terms: 13 + -3x = 12 + -2(3 + x) 13 + -3x = 12 + (3 * -2 + x * -2) 13 + -3x = 12 + (-6 + -2x) Combine like terms: 12 + -6 = 6 13 + -3x = 6 + -2x Solving 13 + -3x = 6 + -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. 13 + -3x + 2x = 6 + -2x + 2x Combine like terms: -3x + 2x = -1x 13 + -1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -1x = 6 + 0 13 + -1x = 6 Add '-13' to each side of the equation. 13 + -13 + -1x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 6 + -13 -1x = 6 + -13 Combine like terms: 6 + -13 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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