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Simplifying 4(x + 2) + 2 = 2(x + 15) + 4 Reorder the terms: 4(2 + x) + 2 = 2(x + 15) + 4 (2 * 4 + x * 4) + 2 = 2(x + 15) + 4 (8 + 4x) + 2 = 2(x + 15) + 4 Reorder the terms: 8 + 2 + 4x = 2(x + 15) + 4 Combine like terms: 8 + 2 = 10 10 + 4x = 2(x + 15) + 4 Reorder the terms: 10 + 4x = 2(15 + x) + 4 10 + 4x = (15 * 2 + x * 2) + 4 10 + 4x = (30 + 2x) + 4 Reorder the terms: 10 + 4x = 30 + 4 + 2x Combine like terms: 30 + 4 = 34 10 + 4x = 34 + 2x Solving 10 + 4x = 34 + 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 + 4x + -2x = 34 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 34 + 0 10 + 2x = 34 Add '-10' to each side of the equation. 10 + -10 + 2x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 34 + -10 2x = 34 + -10 Combine like terms: 34 + -10 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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