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Simplifying 3(2x + -6) = -2(x + 2) Reorder the terms: 3(-6 + 2x) = -2(x + 2) (-6 * 3 + 2x * 3) = -2(x + 2) (-18 + 6x) = -2(x + 2) Reorder the terms: -18 + 6x = -2(2 + x) -18 + 6x = (2 * -2 + x * -2) -18 + 6x = (-4 + -2x) Solving -18 + 6x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 6x + 2x = -4 + -2x + 2x Combine like terms: 6x + 2x = 8x -18 + 8x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 8x = -4 + 0 -18 + 8x = -4 Add '18' to each side of the equation. -18 + 18 + 8x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = -4 + 18 8x = -4 + 18 Combine like terms: -4 + 18 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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