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