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Simplifying 4x + 4(x + 2) = 4x + 4(x + 4) + 4(x + 6) Reorder the terms: 4x + 4(2 + x) = 4x + 4(x + 4) + 4(x + 6) 4x + (2 * 4 + x * 4) = 4x + 4(x + 4) + 4(x + 6) 4x + (8 + 4x) = 4x + 4(x + 4) + 4(x + 6) Reorder the terms: 8 + 4x + 4x = 4x + 4(x + 4) + 4(x + 6) Combine like terms: 4x + 4x = 8x 8 + 8x = 4x + 4(x + 4) + 4(x + 6) Reorder the terms: 8 + 8x = 4x + 4(4 + x) + 4(x + 6) 8 + 8x = 4x + (4 * 4 + x * 4) + 4(x + 6) 8 + 8x = 4x + (16 + 4x) + 4(x + 6) Reorder the terms: 8 + 8x = 4x + 16 + 4x + 4(6 + x) 8 + 8x = 4x + 16 + 4x + (6 * 4 + x * 4) 8 + 8x = 4x + 16 + 4x + (24 + 4x) Reorder the terms: 8 + 8x = 16 + 24 + 4x + 4x + 4x Combine like terms: 16 + 24 = 40 8 + 8x = 40 + 4x + 4x + 4x Combine like terms: 4x + 4x = 8x 8 + 8x = 40 + 8x + 4x Combine like terms: 8x + 4x = 12x 8 + 8x = 40 + 12x Solving 8 + 8x = 40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 8x + -12x = 40 + 12x + -12x Combine like terms: 8x + -12x = -4x 8 + -4x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -4x = 40 + 0 8 + -4x = 40 Add '-8' to each side of the equation. 8 + -8 + -4x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 40 + -8 -4x = 40 + -8 Combine like terms: 40 + -8 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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