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Simplifying 6x + -5(7 + -4x) = 72 + -1x + 56 6x + (7 * -5 + -4x * -5) = 72 + -1x + 56 6x + (-35 + 20x) = 72 + -1x + 56 Reorder the terms: -35 + 6x + 20x = 72 + -1x + 56 Combine like terms: 6x + 20x = 26x -35 + 26x = 72 + -1x + 56 Reorder the terms: -35 + 26x = 72 + 56 + -1x Combine like terms: 72 + 56 = 128 -35 + 26x = 128 + -1x Solving -35 + 26x = 128 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 26x + x = 128 + -1x + x Combine like terms: 26x + x = 27x -35 + 27x = 128 + -1x + x Combine like terms: -1x + x = 0 -35 + 27x = 128 + 0 -35 + 27x = 128 Add '35' to each side of the equation. -35 + 35 + 27x = 128 + 35 Combine like terms: -35 + 35 = 0 0 + 27x = 128 + 35 27x = 128 + 35 Combine like terms: 128 + 35 = 163 27x = 163 Divide each side by '27'. x = 6.037037037 Simplifying x = 6.037037037
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