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Simplifying 5(2x + -1) = 4(7 + -4x) Reorder the terms: 5(-1 + 2x) = 4(7 + -4x) (-1 * 5 + 2x * 5) = 4(7 + -4x) (-5 + 10x) = 4(7 + -4x) -5 + 10x = (7 * 4 + -4x * 4) -5 + 10x = (28 + -16x) Solving -5 + 10x = 28 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -5 + 10x + 16x = 28 + -16x + 16x Combine like terms: 10x + 16x = 26x -5 + 26x = 28 + -16x + 16x Combine like terms: -16x + 16x = 0 -5 + 26x = 28 + 0 -5 + 26x = 28 Add '5' to each side of the equation. -5 + 5 + 26x = 28 + 5 Combine like terms: -5 + 5 = 0 0 + 26x = 28 + 5 26x = 28 + 5 Combine like terms: 28 + 5 = 33 26x = 33 Divide each side by '26'. x = 1.269230769 Simplifying x = 1.269230769
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