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Simplifying 3(x + -2) + 7 = 2(x + 4) Reorder the terms: 3(-2 + x) + 7 = 2(x + 4) (-2 * 3 + x * 3) + 7 = 2(x + 4) (-6 + 3x) + 7 = 2(x + 4) Reorder the terms: -6 + 7 + 3x = 2(x + 4) Combine like terms: -6 + 7 = 1 1 + 3x = 2(x + 4) Reorder the terms: 1 + 3x = 2(4 + x) 1 + 3x = (4 * 2 + x * 2) 1 + 3x = (8 + 2x) Solving 1 + 3x = 8 + 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. 1 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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