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Simplifying 5(2x + -4) + 2x = x + 100 Reorder the terms: 5(-4 + 2x) + 2x = x + 100 (-4 * 5 + 2x * 5) + 2x = x + 100 (-20 + 10x) + 2x = x + 100 Combine like terms: 10x + 2x = 12x -20 + 12x = x + 100 Reorder the terms: -20 + 12x = 100 + x Solving -20 + 12x = 100 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 12x + -1x = 100 + x + -1x Combine like terms: 12x + -1x = 11x -20 + 11x = 100 + x + -1x Combine like terms: x + -1x = 0 -20 + 11x = 100 + 0 -20 + 11x = 100 Add '20' to each side of the equation. -20 + 20 + 11x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 100 + 20 11x = 100 + 20 Combine like terms: 100 + 20 = 120 11x = 120 Divide each side by '11'. x = 10.90909091 Simplifying x = 10.90909091
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