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Simplifying 4(x + 2) + 2x = 5(x + 12) Reorder the terms: 4(2 + x) + 2x = 5(x + 12) (2 * 4 + x * 4) + 2x = 5(x + 12) (8 + 4x) + 2x = 5(x + 12) Combine like terms: 4x + 2x = 6x 8 + 6x = 5(x + 12) Reorder the terms: 8 + 6x = 5(12 + x) 8 + 6x = (12 * 5 + x * 5) 8 + 6x = (60 + 5x) Solving 8 + 6x = 60 + 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. 8 + 6x + -5x = 60 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = 60 + 0 8 + 1x = 60 Add '-8' to each side of the equation. 8 + -8 + 1x = 60 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 60 + -8 1x = 60 + -8 Combine like terms: 60 + -8 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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