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Simplifying 3(x + 4) + -2 = 2x + 7 Reorder the terms: 3(4 + x) + -2 = 2x + 7 (4 * 3 + x * 3) + -2 = 2x + 7 (12 + 3x) + -2 = 2x + 7 Reorder the terms: 12 + -2 + 3x = 2x + 7 Combine like terms: 12 + -2 = 10 10 + 3x = 2x + 7 Reorder the terms: 10 + 3x = 7 + 2x Solving 10 + 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. 10 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 7 + 0 10 + 1x = 7 Add '-10' to each side of the equation. 10 + -10 + 1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 7 + -10 1x = 7 + -10 Combine like terms: 7 + -10 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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