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Simplifying -10x + 30 = 10(-6 + -5x) + 10 Reorder the terms: 30 + -10x = 10(-6 + -5x) + 10 30 + -10x = (-6 * 10 + -5x * 10) + 10 30 + -10x = (-60 + -50x) + 10 Reorder the terms: 30 + -10x = -60 + 10 + -50x Combine like terms: -60 + 10 = -50 30 + -10x = -50 + -50x Solving 30 + -10x = -50 + -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. 30 + -10x + 50x = -50 + -50x + 50x Combine like terms: -10x + 50x = 40x 30 + 40x = -50 + -50x + 50x Combine like terms: -50x + 50x = 0 30 + 40x = -50 + 0 30 + 40x = -50 Add '-30' to each side of the equation. 30 + -30 + 40x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + 40x = -50 + -30 40x = -50 + -30 Combine like terms: -50 + -30 = -80 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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