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Simplifying 6(2x + 4) + -3(x + -8) = 75 Reorder the terms: 6(4 + 2x) + -3(x + -8) = 75 (4 * 6 + 2x * 6) + -3(x + -8) = 75 (24 + 12x) + -3(x + -8) = 75 Reorder the terms: 24 + 12x + -3(-8 + x) = 75 24 + 12x + (-8 * -3 + x * -3) = 75 24 + 12x + (24 + -3x) = 75 Reorder the terms: 24 + 24 + 12x + -3x = 75 Combine like terms: 24 + 24 = 48 48 + 12x + -3x = 75 Combine like terms: 12x + -3x = 9x 48 + 9x = 75 Solving 48 + 9x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 9x = 75 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 75 + -48 9x = 75 + -48 Combine like terms: 75 + -48 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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