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Simplifying 6(x + 5) = 5(x + -10) Reorder the terms: 6(5 + x) = 5(x + -10) (5 * 6 + x * 6) = 5(x + -10) (30 + 6x) = 5(x + -10) Reorder the terms: 30 + 6x = 5(-10 + x) 30 + 6x = (-10 * 5 + x * 5) 30 + 6x = (-50 + 5x) Solving 30 + 6x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 6x + -5x = -50 + 5x + -5x Combine like terms: 6x + -5x = 1x 30 + 1x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 1x = -50 + 0 30 + 1x = -50 Add '-30' to each side of the equation. 30 + -30 + 1x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -50 + -30 1x = -50 + -30 Combine like terms: -50 + -30 = -80 1x = -80 Divide each side by '1'. x = -80 Simplifying x = -80
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