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Simplifying -8(2x + -6) + 9(-5x + 3) = 0 Reorder the terms: -8(-6 + 2x) + 9(-5x + 3) = 0 (-6 * -8 + 2x * -8) + 9(-5x + 3) = 0 (48 + -16x) + 9(-5x + 3) = 0 Reorder the terms: 48 + -16x + 9(3 + -5x) = 0 48 + -16x + (3 * 9 + -5x * 9) = 0 48 + -16x + (27 + -45x) = 0 Reorder the terms: 48 + 27 + -16x + -45x = 0 Combine like terms: 48 + 27 = 75 75 + -16x + -45x = 0 Combine like terms: -16x + -45x = -61x 75 + -61x = 0 Solving 75 + -61x = 0 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 + -61x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -61x = 0 + -75 -61x = 0 + -75 Combine like terms: 0 + -75 = -75 -61x = -75 Divide each side by '-61'. x = 1.229508197 Simplifying x = 1.229508197
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