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Simplifying 3(x + 4) + -2 = 5x + 2 Reorder the terms: 3(4 + x) + -2 = 5x + 2 (4 * 3 + x * 3) + -2 = 5x + 2 (12 + 3x) + -2 = 5x + 2 Reorder the terms: 12 + -2 + 3x = 5x + 2 Combine like terms: 12 + -2 = 10 10 + 3x = 5x + 2 Reorder the terms: 10 + 3x = 2 + 5x Solving 10 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = 2 + 0 10 + -2x = 2 Add '-10' to each side of the equation. 10 + -10 + -2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 2 + -10 -2x = 2 + -10 Combine like terms: 2 + -10 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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