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Simplifying 12 + -2(x + 8) = 3x + 4 + -2x Reorder the terms: 12 + -2(8 + x) = 3x + 4 + -2x 12 + (8 * -2 + x * -2) = 3x + 4 + -2x 12 + (-16 + -2x) = 3x + 4 + -2x Combine like terms: 12 + -16 = -4 -4 + -2x = 3x + 4 + -2x Reorder the terms: -4 + -2x = 4 + 3x + -2x Combine like terms: 3x + -2x = 1x -4 + -2x = 4 + 1x Solving -4 + -2x = 4 + 1x 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. -4 + -2x + -1x = 4 + 1x + -1x Combine like terms: -2x + -1x = -3x -4 + -3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -3x = 4 + 0 -4 + -3x = 4 Add '4' to each side of the equation. -4 + 4 + -3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 4 + 4 -3x = 4 + 4 Combine like terms: 4 + 4 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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