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Simplifying 6(3x + -2) = -2(x + -4) Reorder the terms: 6(-2 + 3x) = -2(x + -4) (-2 * 6 + 3x * 6) = -2(x + -4) (-12 + 18x) = -2(x + -4) Reorder the terms: -12 + 18x = -2(-4 + x) -12 + 18x = (-4 * -2 + x * -2) -12 + 18x = (8 + -2x) Solving -12 + 18x = 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. -12 + 18x + 2x = 8 + -2x + 2x Combine like terms: 18x + 2x = 20x -12 + 20x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 20x = 8 + 0 -12 + 20x = 8 Add '12' to each side of the equation. -12 + 12 + 20x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 8 + 12 20x = 8 + 12 Combine like terms: 8 + 12 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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