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Simplifying 2(x + 4) + -5(2x + 4) = 4x Reorder the terms: 2(4 + x) + -5(2x + 4) = 4x (4 * 2 + x * 2) + -5(2x + 4) = 4x (8 + 2x) + -5(2x + 4) = 4x Reorder the terms: 8 + 2x + -5(4 + 2x) = 4x 8 + 2x + (4 * -5 + 2x * -5) = 4x 8 + 2x + (-20 + -10x) = 4x Reorder the terms: 8 + -20 + 2x + -10x = 4x Combine like terms: 8 + -20 = -12 -12 + 2x + -10x = 4x Combine like terms: 2x + -10x = -8x -12 + -8x = 4x Solving -12 + -8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -8x + -4x = 4x + -4x Combine like terms: -8x + -4x = -12x -12 + -12x = 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -12x = 0 Add '12' to each side of the equation. -12 + 12 + -12x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 0 + 12 -12x = 0 + 12 Combine like terms: 0 + 12 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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