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Simplifying 170x + -1000 = 30(5x + -30) Reorder the terms: -1000 + 170x = 30(5x + -30) Reorder the terms: -1000 + 170x = 30(-30 + 5x) -1000 + 170x = (-30 * 30 + 5x * 30) -1000 + 170x = (-900 + 150x) Solving -1000 + 170x = -900 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. -1000 + 170x + -150x = -900 + 150x + -150x Combine like terms: 170x + -150x = 20x -1000 + 20x = -900 + 150x + -150x Combine like terms: 150x + -150x = 0 -1000 + 20x = -900 + 0 -1000 + 20x = -900 Add '1000' to each side of the equation. -1000 + 1000 + 20x = -900 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 20x = -900 + 1000 20x = -900 + 1000 Combine like terms: -900 + 1000 = 100 20x = 100 Divide each side by '20'. x = 5 Simplifying x = 5
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