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Simplifying 3(x + 2) + 4 + 2x = 2(2x + 2) + -1x Reorder the terms: 3(2 + x) + 4 + 2x = 2(2x + 2) + -1x (2 * 3 + x * 3) + 4 + 2x = 2(2x + 2) + -1x (6 + 3x) + 4 + 2x = 2(2x + 2) + -1x Reorder the terms: 6 + 4 + 3x + 2x = 2(2x + 2) + -1x Combine like terms: 6 + 4 = 10 10 + 3x + 2x = 2(2x + 2) + -1x Combine like terms: 3x + 2x = 5x 10 + 5x = 2(2x + 2) + -1x Reorder the terms: 10 + 5x = 2(2 + 2x) + -1x 10 + 5x = (2 * 2 + 2x * 2) + -1x 10 + 5x = (4 + 4x) + -1x Combine like terms: 4x + -1x = 3x 10 + 5x = 4 + 3x Solving 10 + 5x = 4 + 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. 10 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 4 + 0 10 + 2x = 4 Add '-10' to each side of the equation. 10 + -10 + 2x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 4 + -10 2x = 4 + -10 Combine like terms: 4 + -10 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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