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Simplifying 5(2x + -2) + -2 = 5(x + -5) + 43 Reorder the terms: 5(-2 + 2x) + -2 = 5(x + -5) + 43 (-2 * 5 + 2x * 5) + -2 = 5(x + -5) + 43 (-10 + 10x) + -2 = 5(x + -5) + 43 Reorder the terms: -10 + -2 + 10x = 5(x + -5) + 43 Combine like terms: -10 + -2 = -12 -12 + 10x = 5(x + -5) + 43 Reorder the terms: -12 + 10x = 5(-5 + x) + 43 -12 + 10x = (-5 * 5 + x * 5) + 43 -12 + 10x = (-25 + 5x) + 43 Reorder the terms: -12 + 10x = -25 + 43 + 5x Combine like terms: -25 + 43 = 18 -12 + 10x = 18 + 5x Solving -12 + 10x = 18 + 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. -12 + 10x + -5x = 18 + 5x + -5x Combine like terms: 10x + -5x = 5x -12 + 5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 5x = 18 + 0 -12 + 5x = 18 Add '12' to each side of the equation. -12 + 12 + 5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 18 + 12 5x = 18 + 12 Combine like terms: 18 + 12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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