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Simplifying -3x + 59 = 10(5x + -10) Reorder the terms: 59 + -3x = 10(5x + -10) Reorder the terms: 59 + -3x = 10(-10 + 5x) 59 + -3x = (-10 * 10 + 5x * 10) 59 + -3x = (-100 + 50x) Solving 59 + -3x = -100 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 59 + -3x + -50x = -100 + 50x + -50x Combine like terms: -3x + -50x = -53x 59 + -53x = -100 + 50x + -50x Combine like terms: 50x + -50x = 0 59 + -53x = -100 + 0 59 + -53x = -100 Add '-59' to each side of the equation. 59 + -59 + -53x = -100 + -59 Combine like terms: 59 + -59 = 0 0 + -53x = -100 + -59 -53x = -100 + -59 Combine like terms: -100 + -59 = -159 -53x = -159 Divide each side by '-53'. x = 3 Simplifying x = 3
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