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Simplifying 10(x + 4) = 5(x + -10) + 50 Reorder the terms: 10(4 + x) = 5(x + -10) + 50 (4 * 10 + x * 10) = 5(x + -10) + 50 (40 + 10x) = 5(x + -10) + 50 Reorder the terms: 40 + 10x = 5(-10 + x) + 50 40 + 10x = (-10 * 5 + x * 5) + 50 40 + 10x = (-50 + 5x) + 50 Reorder the terms: 40 + 10x = -50 + 50 + 5x Combine like terms: -50 + 50 = 0 40 + 10x = 0 + 5x 40 + 10x = 5x Solving 40 + 10x = 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. 40 + 10x + -5x = 5x + -5x Combine like terms: 10x + -5x = 5x 40 + 5x = 5x + -5x Combine like terms: 5x + -5x = 0 40 + 5x = 0 Add '-40' to each side of the equation. 40 + -40 + 5x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 0 + -40 5x = 0 + -40 Combine like terms: 0 + -40 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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