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Simplifying -8(3x + -7) = -5x + -5(6x + 2) Reorder the terms: -8(-7 + 3x) = -5x + -5(6x + 2) (-7 * -8 + 3x * -8) = -5x + -5(6x + 2) (56 + -24x) = -5x + -5(6x + 2) Reorder the terms: 56 + -24x = -5x + -5(2 + 6x) 56 + -24x = -5x + (2 * -5 + 6x * -5) 56 + -24x = -5x + (-10 + -30x) Reorder the terms: 56 + -24x = -10 + -5x + -30x Combine like terms: -5x + -30x = -35x 56 + -24x = -10 + -35x Solving 56 + -24x = -10 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 56 + -24x + 35x = -10 + -35x + 35x Combine like terms: -24x + 35x = 11x 56 + 11x = -10 + -35x + 35x Combine like terms: -35x + 35x = 0 56 + 11x = -10 + 0 56 + 11x = -10 Add '-56' to each side of the equation. 56 + -56 + 11x = -10 + -56 Combine like terms: 56 + -56 = 0 0 + 11x = -10 + -56 11x = -10 + -56 Combine like terms: -10 + -56 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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