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Simplifying 5(2x + -10) + -2 = 5(x + -9) + 3 Reorder the terms: 5(-10 + 2x) + -2 = 5(x + -9) + 3 (-10 * 5 + 2x * 5) + -2 = 5(x + -9) + 3 (-50 + 10x) + -2 = 5(x + -9) + 3 Reorder the terms: -50 + -2 + 10x = 5(x + -9) + 3 Combine like terms: -50 + -2 = -52 -52 + 10x = 5(x + -9) + 3 Reorder the terms: -52 + 10x = 5(-9 + x) + 3 -52 + 10x = (-9 * 5 + x * 5) + 3 -52 + 10x = (-45 + 5x) + 3 Reorder the terms: -52 + 10x = -45 + 3 + 5x Combine like terms: -45 + 3 = -42 -52 + 10x = -42 + 5x Solving -52 + 10x = -42 + 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. -52 + 10x + -5x = -42 + 5x + -5x Combine like terms: 10x + -5x = 5x -52 + 5x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + 5x = -42 + 0 -52 + 5x = -42 Add '52' to each side of the equation. -52 + 52 + 5x = -42 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = -42 + 52 5x = -42 + 52 Combine like terms: -42 + 52 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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