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Simplifying 12x + -1(2x + 8) = (x + 16) Reorder the terms: 12x + -1(8 + 2x) = (x + 16) 12x + (8 * -1 + 2x * -1) = (x + 16) 12x + (-8 + -2x) = (x + 16) Reorder the terms: -8 + 12x + -2x = (x + 16) Combine like terms: 12x + -2x = 10x -8 + 10x = (x + 16) Reorder the terms: -8 + 10x = (16 + x) Remove parenthesis around (16 + x) -8 + 10x = 16 + x Solving -8 + 10x = 16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 10x + -1x = 16 + x + -1x Combine like terms: 10x + -1x = 9x -8 + 9x = 16 + x + -1x Combine like terms: x + -1x = 0 -8 + 9x = 16 + 0 -8 + 9x = 16 Add '8' to each side of the equation. -8 + 8 + 9x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 16 + 8 9x = 16 + 8 Combine like terms: 16 + 8 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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