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Simplifying 6(x + 8) + -3(4x + 3) = 69 Reorder the terms: 6(8 + x) + -3(4x + 3) = 69 (8 * 6 + x * 6) + -3(4x + 3) = 69 (48 + 6x) + -3(4x + 3) = 69 Reorder the terms: 48 + 6x + -3(3 + 4x) = 69 48 + 6x + (3 * -3 + 4x * -3) = 69 48 + 6x + (-9 + -12x) = 69 Reorder the terms: 48 + -9 + 6x + -12x = 69 Combine like terms: 48 + -9 = 39 39 + 6x + -12x = 69 Combine like terms: 6x + -12x = -6x 39 + -6x = 69 Solving 39 + -6x = 69 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -6x = 69 + -39 Combine like terms: 39 + -39 = 0 0 + -6x = 69 + -39 -6x = 69 + -39 Combine like terms: 69 + -39 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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