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Simplifying 3x + -5x + -2(x + -6) = 8x Reorder the terms: 3x + -5x + -2(-6 + x) = 8x 3x + -5x + (-6 * -2 + x * -2) = 8x 3x + -5x + (12 + -2x) = 8x Reorder the terms: 12 + 3x + -5x + -2x = 8x Combine like terms: 3x + -5x = -2x 12 + -2x + -2x = 8x Combine like terms: -2x + -2x = -4x 12 + -4x = 8x Solving 12 + -4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -4x + -8x = 8x + -8x Combine like terms: -4x + -8x = -12x 12 + -12x = 8x + -8x Combine like terms: 8x + -8x = 0 12 + -12x = 0 Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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