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Simplifying 4(x + 2) + 4(x + 2) + 2x + 2x = 16x + 16 Reorder the terms: 4(2 + x) + 4(x + 2) + 2x + 2x = 16x + 16 (2 * 4 + x * 4) + 4(x + 2) + 2x + 2x = 16x + 16 (8 + 4x) + 4(x + 2) + 2x + 2x = 16x + 16 Reorder the terms: 8 + 4x + 4(2 + x) + 2x + 2x = 16x + 16 8 + 4x + (2 * 4 + x * 4) + 2x + 2x = 16x + 16 8 + 4x + (8 + 4x) + 2x + 2x = 16x + 16 Reorder the terms: 8 + 8 + 4x + 4x + 2x + 2x = 16x + 16 Combine like terms: 8 + 8 = 16 16 + 4x + 4x + 2x + 2x = 16x + 16 Combine like terms: 4x + 4x = 8x 16 + 8x + 2x + 2x = 16x + 16 Combine like terms: 8x + 2x = 10x 16 + 10x + 2x = 16x + 16 Combine like terms: 10x + 2x = 12x 16 + 12x = 16x + 16 Reorder the terms: 16 + 12x = 16 + 16x Add '-16' to each side of the equation. 16 + -16 + 12x = 16 + -16 + 16x Combine like terms: 16 + -16 = 0 0 + 12x = 16 + -16 + 16x 12x = 16 + -16 + 16x Combine like terms: 16 + -16 = 0 12x = 0 + 16x 12x = 16x Solving 12x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12x + -16x = 16x + -16x Combine like terms: 12x + -16x = -4x -4x = 16x + -16x Combine like terms: 16x + -16x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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