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Simplifying 2(2x + -1 + 2 + x) = 2(x + 2 + x + 2 + x + 2 + x + 2) Reorder the terms: 2(-1 + 2 + 2x + x) = 2(x + 2 + x + 2 + x + 2 + x + 2) Combine like terms: -1 + 2 = 1 2(1 + 2x + x) = 2(x + 2 + x + 2 + x + 2 + x + 2) Combine like terms: 2x + x = 3x 2(1 + 3x) = 2(x + 2 + x + 2 + x + 2 + x + 2) (1 * 2 + 3x * 2) = 2(x + 2 + x + 2 + x + 2 + x + 2) (2 + 6x) = 2(x + 2 + x + 2 + x + 2 + x + 2) Reorder the terms: 2 + 6x = 2(2 + 2 + 2 + 2 + x + x + x + x) Combine like terms: 2 + 2 = 4 2 + 6x = 2(4 + 2 + 2 + x + x + x + x) Combine like terms: 4 + 2 = 6 2 + 6x = 2(6 + 2 + x + x + x + x) Combine like terms: 6 + 2 = 8 2 + 6x = 2(8 + x + x + x + x) Combine like terms: x + x = 2x 2 + 6x = 2(8 + 2x + x + x) Combine like terms: 2x + x = 3x 2 + 6x = 2(8 + 3x + x) Combine like terms: 3x + x = 4x 2 + 6x = 2(8 + 4x) 2 + 6x = (8 * 2 + 4x * 2) 2 + 6x = (16 + 8x) Solving 2 + 6x = 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. 2 + 6x + -8x = 16 + 8x + -8x Combine like terms: 6x + -8x = -2x 2 + -2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -2x = 16 + 0 2 + -2x = 16 Add '-2' to each side of the equation. 2 + -2 + -2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 16 + -2 -2x = 16 + -2 Combine like terms: 16 + -2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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