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Simplifying 71 = x + 2x + 1.5(x) + (x + 5) Reorder the terms: 71 = x + 2x + 1.5x + (5 + x) Remove parenthesis around (5 + x) 71 = x + 2x + 1.5x + 5 + x Reorder the terms: 71 = 5 + x + 2x + 1.5x + x Combine like terms: x + 2x = 3x 71 = 5 + 3x + 1.5x + x Combine like terms: 3x + 1.5x = 4.5x 71 = 5 + 4.5x + x Combine like terms: 4.5x + x = 5.5x 71 = 5 + 5.5x Solving 71 = 5 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 71 + -5.5x = 5 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 71 + -5.5x = 5 + 0.0 71 + -5.5x = 5 Add '-71' to each side of the equation. 71 + -71 + -5.5x = 5 + -71 Combine like terms: 71 + -71 = 0 0 + -5.5x = 5 + -71 -5.5x = 5 + -71 Combine like terms: 5 + -71 = -66 -5.5x = -66 Divide each side by '-5.5'. x = 12 Simplifying x = 12
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