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Simplifying 14.5(6 + -1x) = -9.5x + 37 (6 * 14.5 + -1x * 14.5) = -9.5x + 37 (87 + -14.5x) = -9.5x + 37 Reorder the terms: 87 + -14.5x = 37 + -9.5x Solving 87 + -14.5x = 37 + -9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5x' to each side of the equation. 87 + -14.5x + 9.5x = 37 + -9.5x + 9.5x Combine like terms: -14.5x + 9.5x = -5x 87 + -5x = 37 + -9.5x + 9.5x Combine like terms: -9.5x + 9.5x = 0.0 87 + -5x = 37 + 0.0 87 + -5x = 37 Add '-87' to each side of the equation. 87 + -87 + -5x = 37 + -87 Combine like terms: 87 + -87 = 0 0 + -5x = 37 + -87 -5x = 37 + -87 Combine like terms: 37 + -87 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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