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Simplifying 3(2x + -6) = -4(2x + -6) Reorder the terms: 3(-6 + 2x) = -4(2x + -6) (-6 * 3 + 2x * 3) = -4(2x + -6) (-18 + 6x) = -4(2x + -6) Reorder the terms: -18 + 6x = -4(-6 + 2x) -18 + 6x = (-6 * -4 + 2x * -4) -18 + 6x = (24 + -8x) Solving -18 + 6x = 24 + -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. -18 + 6x + 8x = 24 + -8x + 8x Combine like terms: 6x + 8x = 14x -18 + 14x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 14x = 24 + 0 -18 + 14x = 24 Add '18' to each side of the equation. -18 + 18 + 14x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 24 + 18 14x = 24 + 18 Combine like terms: 24 + 18 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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