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Simplifying 5(2x + -1) = 4(3 + -1x) Reorder the terms: 5(-1 + 2x) = 4(3 + -1x) (-1 * 5 + 2x * 5) = 4(3 + -1x) (-5 + 10x) = 4(3 + -1x) -5 + 10x = (3 * 4 + -1x * 4) -5 + 10x = (12 + -4x) Solving -5 + 10x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + 10x + 4x = 12 + -4x + 4x Combine like terms: 10x + 4x = 14x -5 + 14x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 14x = 12 + 0 -5 + 14x = 12 Add '5' to each side of the equation. -5 + 5 + 14x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 12 + 5 14x = 12 + 5 Combine like terms: 12 + 5 = 17 14x = 17 Divide each side by '14'. x = 1.214285714 Simplifying x = 1.214285714
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