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Simplifying 15(34 + -13x) = 7(37 + 8x) (34 * 15 + -13x * 15) = 7(37 + 8x) (510 + -195x) = 7(37 + 8x) 510 + -195x = (37 * 7 + 8x * 7) 510 + -195x = (259 + 56x) Solving 510 + -195x = 259 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 510 + -195x + -56x = 259 + 56x + -56x Combine like terms: -195x + -56x = -251x 510 + -251x = 259 + 56x + -56x Combine like terms: 56x + -56x = 0 510 + -251x = 259 + 0 510 + -251x = 259 Add '-510' to each side of the equation. 510 + -510 + -251x = 259 + -510 Combine like terms: 510 + -510 = 0 0 + -251x = 259 + -510 -251x = 259 + -510 Combine like terms: 259 + -510 = -251 -251x = -251 Divide each side by '-251'. x = 1 Simplifying x = 1
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