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Simplifying 2x + 3(x + -4) = 4(2x + 3) Reorder the terms: 2x + 3(-4 + x) = 4(2x + 3) 2x + (-4 * 3 + x * 3) = 4(2x + 3) 2x + (-12 + 3x) = 4(2x + 3) Reorder the terms: -12 + 2x + 3x = 4(2x + 3) Combine like terms: 2x + 3x = 5x -12 + 5x = 4(2x + 3) Reorder the terms: -12 + 5x = 4(3 + 2x) -12 + 5x = (3 * 4 + 2x * 4) -12 + 5x = (12 + 8x) Solving -12 + 5x = 12 + 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. -12 + 5x + -8x = 12 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = 12 + 0 -12 + -3x = 12 Add '12' to each side of the equation. -12 + 12 + -3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 12 + 12 -3x = 12 + 12 Combine like terms: 12 + 12 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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