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Simplifying -5(-8x + -6) = -2x + 1 Reorder the terms: -5(-6 + -8x) = -2x + 1 (-6 * -5 + -8x * -5) = -2x + 1 (30 + 40x) = -2x + 1 Reorder the terms: 30 + 40x = 1 + -2x Solving 30 + 40x = 1 + -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. 30 + 40x + 2x = 1 + -2x + 2x Combine like terms: 40x + 2x = 42x 30 + 42x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 42x = 1 + 0 30 + 42x = 1 Add '-30' to each side of the equation. 30 + -30 + 42x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 42x = 1 + -30 42x = 1 + -30 Combine like terms: 1 + -30 = -29 42x = -29 Divide each side by '42'. x = -0.6904761905 Simplifying x = -0.6904761905
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