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Simplifying 6(x + -2) = 4(3 + -2x) Reorder the terms: 6(-2 + x) = 4(3 + -2x) (-2 * 6 + x * 6) = 4(3 + -2x) (-12 + 6x) = 4(3 + -2x) -12 + 6x = (3 * 4 + -2x * 4) -12 + 6x = (12 + -8x) Solving -12 + 6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x -12 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 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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