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Simplifying 8(9 + -7x) = -5(11x + -3) (9 * 8 + -7x * 8) = -5(11x + -3) (72 + -56x) = -5(11x + -3) Reorder the terms: 72 + -56x = -5(-3 + 11x) 72 + -56x = (-3 * -5 + 11x * -5) 72 + -56x = (15 + -55x) Solving 72 + -56x = 15 + -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 72 + -56x + 55x = 15 + -55x + 55x Combine like terms: -56x + 55x = -1x 72 + -1x = 15 + -55x + 55x Combine like terms: -55x + 55x = 0 72 + -1x = 15 + 0 72 + -1x = 15 Add '-72' to each side of the equation. 72 + -72 + -1x = 15 + -72 Combine like terms: 72 + -72 = 0 0 + -1x = 15 + -72 -1x = 15 + -72 Combine like terms: 15 + -72 = -57 -1x = -57 Divide each side by '-1'. x = 57 Simplifying x = 57
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