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Simplifying 5(2x + -4) + -3 = 5(x + -2) + 2 Reorder the terms: 5(-4 + 2x) + -3 = 5(x + -2) + 2 (-4 * 5 + 2x * 5) + -3 = 5(x + -2) + 2 (-20 + 10x) + -3 = 5(x + -2) + 2 Reorder the terms: -20 + -3 + 10x = 5(x + -2) + 2 Combine like terms: -20 + -3 = -23 -23 + 10x = 5(x + -2) + 2 Reorder the terms: -23 + 10x = 5(-2 + x) + 2 -23 + 10x = (-2 * 5 + x * 5) + 2 -23 + 10x = (-10 + 5x) + 2 Reorder the terms: -23 + 10x = -10 + 2 + 5x Combine like terms: -10 + 2 = -8 -23 + 10x = -8 + 5x Solving -23 + 10x = -8 + 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. -23 + 10x + -5x = -8 + 5x + -5x Combine like terms: 10x + -5x = 5x -23 + 5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -23 + 5x = -8 + 0 -23 + 5x = -8 Add '23' to each side of the equation. -23 + 23 + 5x = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = -8 + 23 5x = -8 + 23 Combine like terms: -8 + 23 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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