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Simplifying 8(-6x + 9) + 3 = 219 Reorder the terms: 8(9 + -6x) + 3 = 219 (9 * 8 + -6x * 8) + 3 = 219 (72 + -48x) + 3 = 219 Reorder the terms: 72 + 3 + -48x = 219 Combine like terms: 72 + 3 = 75 75 + -48x = 219 Solving 75 + -48x = 219 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -48x = 219 + -75 Combine like terms: 75 + -75 = 0 0 + -48x = 219 + -75 -48x = 219 + -75 Combine like terms: 219 + -75 = 144 -48x = 144 Divide each side by '-48'. x = -3 Simplifying x = -3
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