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Simplifying 8(6x + -1) = 15(3x + 2) + -2 Reorder the terms: 8(-1 + 6x) = 15(3x + 2) + -2 (-1 * 8 + 6x * 8) = 15(3x + 2) + -2 (-8 + 48x) = 15(3x + 2) + -2 Reorder the terms: -8 + 48x = 15(2 + 3x) + -2 -8 + 48x = (2 * 15 + 3x * 15) + -2 -8 + 48x = (30 + 45x) + -2 Reorder the terms: -8 + 48x = 30 + -2 + 45x Combine like terms: 30 + -2 = 28 -8 + 48x = 28 + 45x Solving -8 + 48x = 28 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -8 + 48x + -45x = 28 + 45x + -45x Combine like terms: 48x + -45x = 3x -8 + 3x = 28 + 45x + -45x Combine like terms: 45x + -45x = 0 -8 + 3x = 28 + 0 -8 + 3x = 28 Add '8' to each side of the equation. -8 + 8 + 3x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 28 + 8 3x = 28 + 8 Combine like terms: 28 + 8 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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