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Simplifying 6(x + 5) = 2(x + -10) + -1x Reorder the terms: 6(5 + x) = 2(x + -10) + -1x (5 * 6 + x * 6) = 2(x + -10) + -1x (30 + 6x) = 2(x + -10) + -1x Reorder the terms: 30 + 6x = 2(-10 + x) + -1x 30 + 6x = (-10 * 2 + x * 2) + -1x 30 + 6x = (-20 + 2x) + -1x Combine like terms: 2x + -1x = 1x 30 + 6x = -20 + 1x Solving 30 + 6x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 6x + -1x = -20 + 1x + -1x Combine like terms: 6x + -1x = 5x 30 + 5x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + 5x = -20 + 0 30 + 5x = -20 Add '-30' to each side of the equation. 30 + -30 + 5x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -20 + -30 5x = -20 + -30 Combine like terms: -20 + -30 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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