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Simplifying 4(2x + 3) = 3(4x + -4) Reorder the terms: 4(3 + 2x) = 3(4x + -4) (3 * 4 + 2x * 4) = 3(4x + -4) (12 + 8x) = 3(4x + -4) Reorder the terms: 12 + 8x = 3(-4 + 4x) 12 + 8x = (-4 * 3 + 4x * 3) 12 + 8x = (-12 + 12x) Solving 12 + 8x = -12 + 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. 12 + 8x + -12x = -12 + 12x + -12x Combine like terms: 8x + -12x = -4x 12 + -4x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -4x = -12 + 0 12 + -4x = -12 Add '-12' to each side of the equation. 12 + -12 + -4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -12 + -12 -4x = -12 + -12 Combine like terms: -12 + -12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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