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