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Simplifying 3(2x + -6) = -4(x + -3) Reorder the terms: 3(-6 + 2x) = -4(x + -3) (-6 * 3 + 2x * 3) = -4(x + -3) (-18 + 6x) = -4(x + -3) Reorder the terms: -18 + 6x = -4(-3 + x) -18 + 6x = (-3 * -4 + x * -4) -18 + 6x = (12 + -4x) Solving -18 + 6x = 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. -18 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x -18 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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