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Simplifying 5(2x + -4) + -2(7 + -1x) = 5x + 1 Reorder the terms: 5(-4 + 2x) + -2(7 + -1x) = 5x + 1 (-4 * 5 + 2x * 5) + -2(7 + -1x) = 5x + 1 (-20 + 10x) + -2(7 + -1x) = 5x + 1 -20 + 10x + (7 * -2 + -1x * -2) = 5x + 1 -20 + 10x + (-14 + 2x) = 5x + 1 Reorder the terms: -20 + -14 + 10x + 2x = 5x + 1 Combine like terms: -20 + -14 = -34 -34 + 10x + 2x = 5x + 1 Combine like terms: 10x + 2x = 12x -34 + 12x = 5x + 1 Reorder the terms: -34 + 12x = 1 + 5x Solving -34 + 12x = 1 + 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. -34 + 12x + -5x = 1 + 5x + -5x Combine like terms: 12x + -5x = 7x -34 + 7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 7x = 1 + 0 -34 + 7x = 1 Add '34' to each side of the equation. -34 + 34 + 7x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 7x = 1 + 34 7x = 1 + 34 Combine like terms: 1 + 34 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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