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Simplifying 3(-4x + 1) + 5(x + 8) = 78 Reorder the terms: 3(1 + -4x) + 5(x + 8) = 78 (1 * 3 + -4x * 3) + 5(x + 8) = 78 (3 + -12x) + 5(x + 8) = 78 Reorder the terms: 3 + -12x + 5(8 + x) = 78 3 + -12x + (8 * 5 + x * 5) = 78 3 + -12x + (40 + 5x) = 78 Reorder the terms: 3 + 40 + -12x + 5x = 78 Combine like terms: 3 + 40 = 43 43 + -12x + 5x = 78 Combine like terms: -12x + 5x = -7x 43 + -7x = 78 Solving 43 + -7x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -7x = 78 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 78 + -43 -7x = 78 + -43 Combine like terms: 78 + -43 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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