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Simplifying 5(x + -10) = 10(x + 4) Reorder the terms: 5(-10 + x) = 10(x + 4) (-10 * 5 + x * 5) = 10(x + 4) (-50 + 5x) = 10(x + 4) Reorder the terms: -50 + 5x = 10(4 + x) -50 + 5x = (4 * 10 + x * 10) -50 + 5x = (40 + 10x) Solving -50 + 5x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -50 + 5x + -10x = 40 + 10x + -10x Combine like terms: 5x + -10x = -5x -50 + -5x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -50 + -5x = 40 + 0 -50 + -5x = 40 Add '50' to each side of the equation. -50 + 50 + -5x = 40 + 50 Combine like terms: -50 + 50 = 0 0 + -5x = 40 + 50 -5x = 40 + 50 Combine like terms: 40 + 50 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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