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Simplifying 5(2x + -4) = 2x + 2(4 + 9) Reorder the terms: 5(-4 + 2x) = 2x + 2(4 + 9) (-4 * 5 + 2x * 5) = 2x + 2(4 + 9) (-20 + 10x) = 2x + 2(4 + 9) Combine like terms: 4 + 9 = 13 -20 + 10x = 2x + 2(13) Multiply 2 * 13 -20 + 10x = 2x + 26 Reorder the terms: -20 + 10x = 26 + 2x Solving -20 + 10x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 10x + -2x = 26 + 2x + -2x Combine like terms: 10x + -2x = 8x -20 + 8x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 8x = 26 + 0 -20 + 8x = 26 Add '20' to each side of the equation. -20 + 20 + 8x = 26 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 26 + 20 8x = 26 + 20 Combine like terms: 26 + 20 = 46 8x = 46 Divide each side by '8'. x = 5.75 Simplifying x = 5.75
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