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Simplifying 6[3 + -1(-8x + -2)] = 240x + 78 Reorder the terms: 6[3 + -1(-2 + -8x)] = 240x + 78 6[3 + (-2 * -1 + -8x * -1)] = 240x + 78 6[3 + (2 + 8x)] = 240x + 78 Combine like terms: 3 + 2 = 5 6[5 + 8x] = 240x + 78 [5 * 6 + 8x * 6] = 240x + 78 [30 + 48x] = 240x + 78 Reorder the terms: 30 + 48x = 78 + 240x Solving 30 + 48x = 78 + 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. 30 + 48x + -240x = 78 + 240x + -240x Combine like terms: 48x + -240x = -192x 30 + -192x = 78 + 240x + -240x Combine like terms: 240x + -240x = 0 30 + -192x = 78 + 0 30 + -192x = 78 Add '-30' to each side of the equation. 30 + -30 + -192x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + -192x = 78 + -30 -192x = 78 + -30 Combine like terms: 78 + -30 = 48 -192x = 48 Divide each side by '-192'. x = -0.25 Simplifying x = -0.25
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