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Simplifying 5(8 + 6x) = -2x + -12 (8 * 5 + 6x * 5) = -2x + -12 (40 + 30x) = -2x + -12 Reorder the terms: 40 + 30x = -12 + -2x Solving 40 + 30x = -12 + -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. 40 + 30x + 2x = -12 + -2x + 2x Combine like terms: 30x + 2x = 32x 40 + 32x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 32x = -12 + 0 40 + 32x = -12 Add '-40' to each side of the equation. 40 + -40 + 32x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 32x = -12 + -40 32x = -12 + -40 Combine like terms: -12 + -40 = -52 32x = -52 Divide each side by '32'. x = -1.625 Simplifying x = -1.625
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