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Simplifying 3(3x + 4) + 6(x + -8) = 32 Reorder the terms: 3(4 + 3x) + 6(x + -8) = 32 (4 * 3 + 3x * 3) + 6(x + -8) = 32 (12 + 9x) + 6(x + -8) = 32 Reorder the terms: 12 + 9x + 6(-8 + x) = 32 12 + 9x + (-8 * 6 + x * 6) = 32 12 + 9x + (-48 + 6x) = 32 Reorder the terms: 12 + -48 + 9x + 6x = 32 Combine like terms: 12 + -48 = -36 -36 + 9x + 6x = 32 Combine like terms: 9x + 6x = 15x -36 + 15x = 32 Solving -36 + 15x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 15x = 32 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = 32 + 36 15x = 32 + 36 Combine like terms: 32 + 36 = 68 15x = 68 Divide each side by '15'. x = 4.533333333 Simplifying x = 4.533333333
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