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Simplifying 2(x + 12) + 20 = 3x + 4 Reorder the terms: 2(12 + x) + 20 = 3x + 4 (12 * 2 + x * 2) + 20 = 3x + 4 (24 + 2x) + 20 = 3x + 4 Reorder the terms: 24 + 20 + 2x = 3x + 4 Combine like terms: 24 + 20 = 44 44 + 2x = 3x + 4 Reorder the terms: 44 + 2x = 4 + 3x Solving 44 + 2x = 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. 44 + 2x + -3x = 4 + 3x + -3x Combine like terms: 2x + -3x = -1x 44 + -1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 44 + -1x = 4 + 0 44 + -1x = 4 Add '-44' to each side of the equation. 44 + -44 + -1x = 4 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = 4 + -44 -1x = 4 + -44 Combine like terms: 4 + -44 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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