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Simplifying 2(x + -2) + 2x = 4(x + 4) + 4x Reorder the terms: 2(-2 + x) + 2x = 4(x + 4) + 4x (-2 * 2 + x * 2) + 2x = 4(x + 4) + 4x (-4 + 2x) + 2x = 4(x + 4) + 4x Combine like terms: 2x + 2x = 4x -4 + 4x = 4(x + 4) + 4x Reorder the terms: -4 + 4x = 4(4 + x) + 4x -4 + 4x = (4 * 4 + x * 4) + 4x -4 + 4x = (16 + 4x) + 4x Combine like terms: 4x + 4x = 8x -4 + 4x = 16 + 8x Solving -4 + 4x = 16 + 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 + 4x + -8x = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x -4 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -4x = 16 + 0 -4 + -4x = 16 Add '4' to each side of the equation. -4 + 4 + -4x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 16 + 4 -4x = 16 + 4 Combine like terms: 16 + 4 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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