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Simplifying x + 2 + x + 2 + x + 2 + x + 2 = 2x + 2x + (2x + -4) + (2x + -4) Reorder the terms: 2 + 2 + 2 + 2 + x + x + x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: 2 + 2 = 4 4 + 2 + 2 + x + x + x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: 4 + 2 = 6 6 + 2 + x + x + x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: 6 + 2 = 8 8 + x + x + x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: x + x = 2x 8 + 2x + x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: 2x + x = 3x 8 + 3x + x = 2x + 2x + (2x + -4) + (2x + -4) Combine like terms: 3x + x = 4x 8 + 4x = 2x + 2x + (2x + -4) + (2x + -4) Reorder the terms: 8 + 4x = 2x + 2x + (-4 + 2x) + (2x + -4) Remove parenthesis around (-4 + 2x) 8 + 4x = 2x + 2x + -4 + 2x + (2x + -4) Reorder the terms: 8 + 4x = 2x + 2x + -4 + 2x + (-4 + 2x) Remove parenthesis around (-4 + 2x) 8 + 4x = 2x + 2x + -4 + 2x + -4 + 2x Reorder the terms: 8 + 4x = -4 + -4 + 2x + 2x + 2x + 2x Combine like terms: -4 + -4 = -8 8 + 4x = -8 + 2x + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = -8 + 4x + 2x + 2x Combine like terms: 4x + 2x = 6x 8 + 4x = -8 + 6x + 2x Combine like terms: 6x + 2x = 8x 8 + 4x = -8 + 8x Solving 8 + 4x = -8 + 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. 8 + 4x + -8x = -8 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -8 + 0 8 + -4x = -8 Add '-8' to each side of the equation. 8 + -8 + -4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -8 + -8 -4x = -8 + -8 Combine like terms: -8 + -8 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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