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Simplifying 2(5x + -6) = 4(3 + -1x) Reorder the terms: 2(-6 + 5x) = 4(3 + -1x) (-6 * 2 + 5x * 2) = 4(3 + -1x) (-12 + 10x) = 4(3 + -1x) -12 + 10x = (3 * 4 + -1x * 4) -12 + 10x = (12 + -4x) Solving -12 + 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. -12 + 10x + 4x = 12 + -4x + 4x Combine like terms: 10x + 4x = 14x -12 + 14x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 14x = 12 + 0 -12 + 14x = 12 Add '12' to each side of the equation. -12 + 12 + 14x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 12 + 12 14x = 12 + 12 Combine like terms: 12 + 12 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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