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Simplifying 4(-3x + 4) = 2(6x + -8) Reorder the terms: 4(4 + -3x) = 2(6x + -8) (4 * 4 + -3x * 4) = 2(6x + -8) (16 + -12x) = 2(6x + -8) Reorder the terms: 16 + -12x = 2(-8 + 6x) 16 + -12x = (-8 * 2 + 6x * 2) 16 + -12x = (-16 + 12x) Solving 16 + -12x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + -12x + -12x = -16 + 12x + -12x Combine like terms: -12x + -12x = -24x 16 + -24x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -24x = -16 + 0 16 + -24x = -16 Add '-16' to each side of the equation. 16 + -16 + -24x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -24x = -16 + -16 -24x = -16 + -16 Combine like terms: -16 + -16 = -32 -24x = -32 Divide each side by '-24'. x = 1.333333333 Simplifying x = 1.333333333
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