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Simplifying 4(x + 3) + 2x = 5(x + 12) Reorder the terms: 4(3 + x) + 2x = 5(x + 12) (3 * 4 + x * 4) + 2x = 5(x + 12) (12 + 4x) + 2x = 5(x + 12) Combine like terms: 4x + 2x = 6x 12 + 6x = 5(x + 12) Reorder the terms: 12 + 6x = 5(12 + x) 12 + 6x = (12 * 5 + x * 5) 12 + 6x = (60 + 5x) Solving 12 + 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. 12 + 6x + -5x = 60 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 60 + 0 12 + 1x = 60 Add '-12' to each side of the equation. 12 + -12 + 1x = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 60 + -12 1x = 60 + -12 Combine like terms: 60 + -12 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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