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Simplifying 8(x + 4) + -6(9x + -6) = 15 Reorder the terms: 8(4 + x) + -6(9x + -6) = 15 (4 * 8 + x * 8) + -6(9x + -6) = 15 (32 + 8x) + -6(9x + -6) = 15 Reorder the terms: 32 + 8x + -6(-6 + 9x) = 15 32 + 8x + (-6 * -6 + 9x * -6) = 15 32 + 8x + (36 + -54x) = 15 Reorder the terms: 32 + 36 + 8x + -54x = 15 Combine like terms: 32 + 36 = 68 68 + 8x + -54x = 15 Combine like terms: 8x + -54x = -46x 68 + -46x = 15 Solving 68 + -46x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -46x = 15 + -68 Combine like terms: 68 + -68 = 0 0 + -46x = 15 + -68 -46x = 15 + -68 Combine like terms: 15 + -68 = -53 -46x = -53 Divide each side by '-46'. x = 1.152173913 Simplifying x = 1.152173913
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