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Simplifying 10(x + -2) = -4(x + 5) Reorder the terms: 10(-2 + x) = -4(x + 5) (-2 * 10 + x * 10) = -4(x + 5) (-20 + 10x) = -4(x + 5) Reorder the terms: -20 + 10x = -4(5 + x) -20 + 10x = (5 * -4 + x * -4) -20 + 10x = (-20 + -4x) Add '20' to each side of the equation. -20 + 20 + 10x = -20 + 20 + -4x Combine like terms: -20 + 20 = 0 0 + 10x = -20 + 20 + -4x 10x = -20 + 20 + -4x Combine like terms: -20 + 20 = 0 10x = 0 + -4x 10x = -4x Solving 10x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10x + 4x = -4x + 4x Combine like terms: 10x + 4x = 14x 14x = -4x + 4x Combine like terms: -4x + 4x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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