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Simplifying 6(x + -4) = -6(3x + 2) Reorder the terms: 6(-4 + x) = -6(3x + 2) (-4 * 6 + x * 6) = -6(3x + 2) (-24 + 6x) = -6(3x + 2) Reorder the terms: -24 + 6x = -6(2 + 3x) -24 + 6x = (2 * -6 + 3x * -6) -24 + 6x = (-12 + -18x) Solving -24 + 6x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -24 + 6x + 18x = -12 + -18x + 18x Combine like terms: 6x + 18x = 24x -24 + 24x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 -24 + 24x = -12 + 0 -24 + 24x = -12 Add '24' to each side of the equation. -24 + 24 + 24x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = -12 + 24 24x = -12 + 24 Combine like terms: -12 + 24 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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