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Simplifying 6(-3x + 4) = 2(3x + -4) Reorder the terms: 6(4 + -3x) = 2(3x + -4) (4 * 6 + -3x * 6) = 2(3x + -4) (24 + -18x) = 2(3x + -4) Reorder the terms: 24 + -18x = 2(-4 + 3x) 24 + -18x = (-4 * 2 + 3x * 2) 24 + -18x = (-8 + 6x) Solving 24 + -18x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -18x + -6x = -8 + 6x + -6x Combine like terms: -18x + -6x = -24x 24 + -24x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -24x = -8 + 0 24 + -24x = -8 Add '-24' to each side of the equation. 24 + -24 + -24x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = -8 + -24 -24x = -8 + -24 Combine like terms: -8 + -24 = -32 -24x = -32 Divide each side by '-24'. x = 1.333333333 Simplifying x = 1.333333333
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