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Simplifying 5(x + 6) + -3(x + -8) = 78 Reorder the terms: 5(6 + x) + -3(x + -8) = 78 (6 * 5 + x * 5) + -3(x + -8) = 78 (30 + 5x) + -3(x + -8) = 78 Reorder the terms: 30 + 5x + -3(-8 + x) = 78 30 + 5x + (-8 * -3 + x * -3) = 78 30 + 5x + (24 + -3x) = 78 Reorder the terms: 30 + 24 + 5x + -3x = 78 Combine like terms: 30 + 24 = 54 54 + 5x + -3x = 78 Combine like terms: 5x + -3x = 2x 54 + 2x = 78 Solving 54 + 2x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 2x = 78 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = 78 + -54 2x = 78 + -54 Combine like terms: 78 + -54 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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