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Simplifying 1(5x + 17) = 4.5x + -22 Reorder the terms: 1(17 + 5x) = 4.5x + -22 (17 * 1 + 5x * 1) = 4.5x + -22 (17 + 5x) = 4.5x + -22 Reorder the terms: 17 + 5x = -22 + 4.5x Solving 17 + 5x = -22 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 17 + 5x + -4.5x = -22 + 4.5x + -4.5x Combine like terms: 5x + -4.5x = 0.5x 17 + 0.5x = -22 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 17 + 0.5x = -22 + 0.0 17 + 0.5x = -22 Add '-17' to each side of the equation. 17 + -17 + 0.5x = -22 + -17 Combine like terms: 17 + -17 = 0 0 + 0.5x = -22 + -17 0.5x = -22 + -17 Combine like terms: -22 + -17 = -39 0.5x = -39 Divide each side by '0.5'. x = -78 Simplifying x = -78
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