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Simplifying 8 + -3x = x + -6(2 + x) 8 + -3x = x + (2 * -6 + x * -6) 8 + -3x = x + (-12 + -6x) Reorder the terms: 8 + -3x = -12 + x + -6x Combine like terms: x + -6x = -5x 8 + -3x = -12 + -5x Solving 8 + -3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -3x + 5x = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x 8 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 2x = -12 + 0 8 + 2x = -12 Add '-8' to each side of the equation. 8 + -8 + 2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -12 + -8 2x = -12 + -8 Combine like terms: -12 + -8 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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