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Simplifying 6(2x + -3) = 2(x + -4) Reorder the terms: 6(-3 + 2x) = 2(x + -4) (-3 * 6 + 2x * 6) = 2(x + -4) (-18 + 12x) = 2(x + -4) Reorder the terms: -18 + 12x = 2(-4 + x) -18 + 12x = (-4 * 2 + x * 2) -18 + 12x = (-8 + 2x) Solving -18 + 12x = -8 + 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 + 12x + -2x = -8 + 2x + -2x Combine like terms: 12x + -2x = 10x -18 + 10x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 10x = -8 + 0 -18 + 10x = -8 Add '18' to each side of the equation. -18 + 18 + 10x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = -8 + 18 10x = -8 + 18 Combine like terms: -8 + 18 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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