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Simplifying -6x + 8 = -2(4x + 5) Reorder the terms: 8 + -6x = -2(4x + 5) Reorder the terms: 8 + -6x = -2(5 + 4x) 8 + -6x = (5 * -2 + 4x * -2) 8 + -6x = (-10 + -8x) Solving 8 + -6x = -10 + -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. 8 + -6x + 8x = -10 + -8x + 8x Combine like terms: -6x + 8x = 2x 8 + 2x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 2x = -10 + 0 8 + 2x = -10 Add '-8' to each side of the equation. 8 + -8 + 2x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -10 + -8 2x = -10 + -8 Combine like terms: -10 + -8 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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