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Simplifying 5(12x) = (x + 7) + (x + 10) + (6x + 9) Remove parenthesis around (12x) 5 * 12x = (x + 7) + (x + 10) + (6x + 9) Multiply 5 * 12 60x = (x + 7) + (x + 10) + (6x + 9) Reorder the terms: 60x = (7 + x) + (x + 10) + (6x + 9) Remove parenthesis around (7 + x) 60x = 7 + x + (x + 10) + (6x + 9) Reorder the terms: 60x = 7 + x + (10 + x) + (6x + 9) Remove parenthesis around (10 + x) 60x = 7 + x + 10 + x + (6x + 9) Reorder the terms: 60x = 7 + x + 10 + x + (9 + 6x) Remove parenthesis around (9 + 6x) 60x = 7 + x + 10 + x + 9 + 6x Reorder the terms: 60x = 7 + 10 + 9 + x + x + 6x Combine like terms: 7 + 10 = 17 60x = 17 + 9 + x + x + 6x Combine like terms: 17 + 9 = 26 60x = 26 + x + x + 6x Combine like terms: x + x = 2x 60x = 26 + 2x + 6x Combine like terms: 2x + 6x = 8x 60x = 26 + 8x Solving 60x = 26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 60x + -8x = 26 + 8x + -8x Combine like terms: 60x + -8x = 52x 52x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 52x = 26 + 0 52x = 26 Divide each side by '52'. x = 0.5 Simplifying x = 0.5
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