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Simplifying 7(2x + -1) = 4(1 + -5x) + 6 Reorder the terms: 7(-1 + 2x) = 4(1 + -5x) + 6 (-1 * 7 + 2x * 7) = 4(1 + -5x) + 6 (-7 + 14x) = 4(1 + -5x) + 6 -7 + 14x = (1 * 4 + -5x * 4) + 6 -7 + 14x = (4 + -20x) + 6 Reorder the terms: -7 + 14x = 4 + 6 + -20x Combine like terms: 4 + 6 = 10 -7 + 14x = 10 + -20x Solving -7 + 14x = 10 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -7 + 14x + 20x = 10 + -20x + 20x Combine like terms: 14x + 20x = 34x -7 + 34x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 -7 + 34x = 10 + 0 -7 + 34x = 10 Add '7' to each side of the equation. -7 + 7 + 34x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 34x = 10 + 7 34x = 10 + 7 Combine like terms: 10 + 7 = 17 34x = 17 Divide each side by '34'. x = 0.5 Simplifying x = 0.5
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