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Simplifying 71 = (4.5x) + (x + 1) Reorder the terms: 71 = (4.5x) + (1 + x) Remove parenthesis around (1 + x) 71 = (4.5x) + 1 + x Reorder the terms: 71 = 1 + (4.5x) + x Combine like terms: (4.5x) + x = 5.5x 71 = 1 + 5.5x Solving 71 = 1 + 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 = 1 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 71 + -5.5x = 1 + 0.0 71 + -5.5x = 1 Add '-71' to each side of the equation. 71 + -71 + -5.5x = 1 + -71 Combine like terms: 71 + -71 = 0 0 + -5.5x = 1 + -71 -5.5x = 1 + -71 Combine like terms: 1 + -71 = -70 -5.5x = -70 Divide each side by '-5.5'. x = 12.72727273 Simplifying x = 12.72727273
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