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Simplifying -3x + 8 = -2(5 + 6x) Reorder the terms: 8 + -3x = -2(5 + 6x) 8 + -3x = (5 * -2 + 6x * -2) 8 + -3x = (-10 + -12x) Solving 8 + -3x = -10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -3x + 12x = -10 + -12x + 12x Combine like terms: -3x + 12x = 9x 8 + 9x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 9x = -10 + 0 8 + 9x = -10 Add '-8' to each side of the equation. 8 + -8 + 9x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -10 + -8 9x = -10 + -8 Combine like terms: -10 + -8 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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