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Simplifying 7(4x + -2) = 5(2 + -1x) Reorder the terms: 7(-2 + 4x) = 5(2 + -1x) (-2 * 7 + 4x * 7) = 5(2 + -1x) (-14 + 28x) = 5(2 + -1x) -14 + 28x = (2 * 5 + -1x * 5) -14 + 28x = (10 + -5x) Solving -14 + 28x = 10 + -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. -14 + 28x + 5x = 10 + -5x + 5x Combine like terms: 28x + 5x = 33x -14 + 33x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 33x = 10 + 0 -14 + 33x = 10 Add '14' to each side of the equation. -14 + 14 + 33x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 33x = 10 + 14 33x = 10 + 14 Combine like terms: 10 + 14 = 24 33x = 24 Divide each side by '33'. x = 0.7272727273 Simplifying x = 0.7272727273
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