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Simplifying 17 + 4x = 5(x + -9) Reorder the terms: 17 + 4x = 5(-9 + x) 17 + 4x = (-9 * 5 + x * 5) 17 + 4x = (-45 + 5x) Solving 17 + 4x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 4x + -5x = -45 + 5x + -5x Combine like terms: 4x + -5x = -1x 17 + -1x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -1x = -45 + 0 17 + -1x = -45 Add '-17' to each side of the equation. 17 + -17 + -1x = -45 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -45 + -17 -1x = -45 + -17 Combine like terms: -45 + -17 = -62 -1x = -62 Divide each side by '-1'. x = 62 Simplifying x = 62
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