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Simplifying 8(x + 2) + 2x = 2(x + 6) + 4x Reorder the terms: 8(2 + x) + 2x = 2(x + 6) + 4x (2 * 8 + x * 8) + 2x = 2(x + 6) + 4x (16 + 8x) + 2x = 2(x + 6) + 4x Combine like terms: 8x + 2x = 10x 16 + 10x = 2(x + 6) + 4x Reorder the terms: 16 + 10x = 2(6 + x) + 4x 16 + 10x = (6 * 2 + x * 2) + 4x 16 + 10x = (12 + 2x) + 4x Combine like terms: 2x + 4x = 6x 16 + 10x = 12 + 6x Solving 16 + 10x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 16 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 4x = 12 + 0 16 + 4x = 12 Add '-16' to each side of the equation. 16 + -16 + 4x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 12 + -16 4x = 12 + -16 Combine like terms: 12 + -16 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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