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Simplifying -6(3x + -4) + 2x = 2(x + 6) Reorder the terms: -6(-4 + 3x) + 2x = 2(x + 6) (-4 * -6 + 3x * -6) + 2x = 2(x + 6) (24 + -18x) + 2x = 2(x + 6) Combine like terms: -18x + 2x = -16x 24 + -16x = 2(x + 6) Reorder the terms: 24 + -16x = 2(6 + x) 24 + -16x = (6 * 2 + x * 2) 24 + -16x = (12 + 2x) Solving 24 + -16x = 12 + 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. 24 + -16x + -2x = 12 + 2x + -2x Combine like terms: -16x + -2x = -18x 24 + -18x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -18x = 12 + 0 24 + -18x = 12 Add '-24' to each side of the equation. 24 + -24 + -18x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = 12 + -24 -18x = 12 + -24 Combine like terms: 12 + -24 = -12 -18x = -12 Divide each side by '-18'. x = 0.6666666667 Simplifying x = 0.6666666667
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