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Simplifying -5(-8x + -8) = -6(3x + 3) Reorder the terms: -5(-8 + -8x) = -6(3x + 3) (-8 * -5 + -8x * -5) = -6(3x + 3) (40 + 40x) = -6(3x + 3) Reorder the terms: 40 + 40x = -6(3 + 3x) 40 + 40x = (3 * -6 + 3x * -6) 40 + 40x = (-18 + -18x) Solving 40 + 40x = -18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 40 + 40x + 18x = -18 + -18x + 18x Combine like terms: 40x + 18x = 58x 40 + 58x = -18 + -18x + 18x Combine like terms: -18x + 18x = 0 40 + 58x = -18 + 0 40 + 58x = -18 Add '-40' to each side of the equation. 40 + -40 + 58x = -18 + -40 Combine like terms: 40 + -40 = 0 0 + 58x = -18 + -40 58x = -18 + -40 Combine like terms: -18 + -40 = -58 58x = -58 Divide each side by '58'. x = -1 Simplifying x = -1
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