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Simplifying 5(x + -2) = 10x + -40 Reorder the terms: 5(-2 + x) = 10x + -40 (-2 * 5 + x * 5) = 10x + -40 (-10 + 5x) = 10x + -40 Reorder the terms: -10 + 5x = -40 + 10x Solving -10 + 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. -10 + 5x + -10x = -40 + 10x + -10x Combine like terms: 5x + -10x = -5x -10 + -5x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -5x = -40 + 0 -10 + -5x = -40 Add '10' to each side of the equation. -10 + 10 + -5x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -40 + 10 -5x = -40 + 10 Combine like terms: -40 + 10 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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