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