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Simplifying x + (x + 4) + 1.5(x + 4) = 54 Reorder the terms: x + (4 + x) + 1.5(x + 4) = 54 Remove parenthesis around (4 + x) x + 4 + x + 1.5(x + 4) = 54 Reorder the terms: x + 4 + x + 1.5(4 + x) = 54 x + 4 + x + (4 * 1.5 + x * 1.5) = 54 x + 4 + x + (6 + 1.5x) = 54 Reorder the terms: 4 + 6 + x + x + 1.5x = 54 Combine like terms: 4 + 6 = 10 10 + x + x + 1.5x = 54 Combine like terms: x + x = 2x 10 + 2x + 1.5x = 54 Combine like terms: 2x + 1.5x = 3.5x 10 + 3.5x = 54 Solving 10 + 3.5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3.5x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 3.5x = 54 + -10 3.5x = 54 + -10 Combine like terms: 54 + -10 = 44 3.5x = 44 Divide each side by '3.5'. x = 12.57142857 Simplifying x = 12.57142857
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