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Simplifying 8 + -1(2x + 12) = 6x Reorder the terms: 8 + -1(12 + 2x) = 6x 8 + (12 * -1 + 2x * -1) = 6x 8 + (-12 + -2x) = 6x Combine like terms: 8 + -12 = -4 -4 + -2x = 6x Solving -4 + -2x = 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. -4 + -2x + -6x = 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = 0 Add '4' to each side of the equation. -4 + 4 + -8x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 0 + 4 -8x = 0 + 4 Combine like terms: 0 + 4 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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