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Simplifying 6[4 + -1(-8x + -9)] = 240x + 294 Reorder the terms: 6[4 + -1(-9 + -8x)] = 240x + 294 6[4 + (-9 * -1 + -8x * -1)] = 240x + 294 6[4 + (9 + 8x)] = 240x + 294 Combine like terms: 4 + 9 = 13 6[13 + 8x] = 240x + 294 [13 * 6 + 8x * 6] = 240x + 294 [78 + 48x] = 240x + 294 Reorder the terms: 78 + 48x = 294 + 240x Solving 78 + 48x = 294 + 240x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240x' to each side of the equation. 78 + 48x + -240x = 294 + 240x + -240x Combine like terms: 48x + -240x = -192x 78 + -192x = 294 + 240x + -240x Combine like terms: 240x + -240x = 0 78 + -192x = 294 + 0 78 + -192x = 294 Add '-78' to each side of the equation. 78 + -78 + -192x = 294 + -78 Combine like terms: 78 + -78 = 0 0 + -192x = 294 + -78 -192x = 294 + -78 Combine like terms: 294 + -78 = 216 -192x = 216 Divide each side by '-192'. x = -1.125 Simplifying x = -1.125
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