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Simplifying -2(x + 4) + -4(1 + -3x) = 2x + 5x Reorder the terms: -2(4 + x) + -4(1 + -3x) = 2x + 5x (4 * -2 + x * -2) + -4(1 + -3x) = 2x + 5x (-8 + -2x) + -4(1 + -3x) = 2x + 5x -8 + -2x + (1 * -4 + -3x * -4) = 2x + 5x -8 + -2x + (-4 + 12x) = 2x + 5x Reorder the terms: -8 + -4 + -2x + 12x = 2x + 5x Combine like terms: -8 + -4 = -12 -12 + -2x + 12x = 2x + 5x Combine like terms: -2x + 12x = 10x -12 + 10x = 2x + 5x Combine like terms: 2x + 5x = 7x -12 + 10x = 7x Solving -12 + 10x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 10x + -7x = 7x + -7x Combine like terms: 10x + -7x = 3x -12 + 3x = 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 3x = 0 Add '12' to each side of the equation. -12 + 12 + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 0 + 12 3x = 0 + 12 Combine like terms: 0 + 12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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