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Simplifying 3(2x + 4) + -2(x + -5) = 54 Reorder the terms: 3(4 + 2x) + -2(x + -5) = 54 (4 * 3 + 2x * 3) + -2(x + -5) = 54 (12 + 6x) + -2(x + -5) = 54 Reorder the terms: 12 + 6x + -2(-5 + x) = 54 12 + 6x + (-5 * -2 + x * -2) = 54 12 + 6x + (10 + -2x) = 54 Reorder the terms: 12 + 10 + 6x + -2x = 54 Combine like terms: 12 + 10 = 22 22 + 6x + -2x = 54 Combine like terms: 6x + -2x = 4x 22 + 4x = 54 Solving 22 + 4x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4x = 54 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 54 + -22 4x = 54 + -22 Combine like terms: 54 + -22 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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