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Simplifying 5(15 + -1x) = 9(10x + -19) (15 * 5 + -1x * 5) = 9(10x + -19) (75 + -5x) = 9(10x + -19) Reorder the terms: 75 + -5x = 9(-19 + 10x) 75 + -5x = (-19 * 9 + 10x * 9) 75 + -5x = (-171 + 90x) Solving 75 + -5x = -171 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 75 + -5x + -90x = -171 + 90x + -90x Combine like terms: -5x + -90x = -95x 75 + -95x = -171 + 90x + -90x Combine like terms: 90x + -90x = 0 75 + -95x = -171 + 0 75 + -95x = -171 Add '-75' to each side of the equation. 75 + -75 + -95x = -171 + -75 Combine like terms: 75 + -75 = 0 0 + -95x = -171 + -75 -95x = -171 + -75 Combine like terms: -171 + -75 = -246 -95x = -246 Divide each side by '-95'. x = 2.589473684 Simplifying x = 2.589473684
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