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Simplifying 45 = -5(7 + -8x) 45 = (7 * -5 + -8x * -5) 45 = (-35 + 40x) Solving 45 = -35 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 45 + -40x = -35 + 40x + -40x Combine like terms: 40x + -40x = 0 45 + -40x = -35 + 0 45 + -40x = -35 Add '-45' to each side of the equation. 45 + -45 + -40x = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -40x = -35 + -45 -40x = -35 + -45 Combine like terms: -35 + -45 = -80 -40x = -80 Divide each side by '-40'. x = 2 Simplifying x = 2
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