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Simplifying 4 + -3(x + 4) = 12 + -1(4 + 5x) Reorder the terms: 4 + -3(4 + x) = 12 + -1(4 + 5x) 4 + (4 * -3 + x * -3) = 12 + -1(4 + 5x) 4 + (-12 + -3x) = 12 + -1(4 + 5x) Combine like terms: 4 + -12 = -8 -8 + -3x = 12 + -1(4 + 5x) -8 + -3x = 12 + (4 * -1 + 5x * -1) -8 + -3x = 12 + (-4 + -5x) Combine like terms: 12 + -4 = 8 -8 + -3x = 8 + -5x Solving -8 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x -8 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 2x = 8 + 0 -8 + 2x = 8 Add '8' to each side of the equation. -8 + 8 + 2x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 8 + 8 2x = 8 + 8 Combine like terms: 8 + 8 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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