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Simplifying 6(x + 2) = 5x + 2(x + 8) Reorder the terms: 6(2 + x) = 5x + 2(x + 8) (2 * 6 + x * 6) = 5x + 2(x + 8) (12 + 6x) = 5x + 2(x + 8) Reorder the terms: 12 + 6x = 5x + 2(8 + x) 12 + 6x = 5x + (8 * 2 + x * 2) 12 + 6x = 5x + (16 + 2x) Reorder the terms: 12 + 6x = 16 + 5x + 2x Combine like terms: 5x + 2x = 7x 12 + 6x = 16 + 7x Solving 12 + 6x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 6x + -7x = 16 + 7x + -7x Combine like terms: 6x + -7x = -1x 12 + -1x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -1x = 16 + 0 12 + -1x = 16 Add '-12' to each side of the equation. 12 + -12 + -1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 16 + -12 -1x = 16 + -12 Combine like terms: 16 + -12 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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