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Simplifying 4(6x + 5) + -2(4x + 3) = 54 Reorder the terms: 4(5 + 6x) + -2(4x + 3) = 54 (5 * 4 + 6x * 4) + -2(4x + 3) = 54 (20 + 24x) + -2(4x + 3) = 54 Reorder the terms: 20 + 24x + -2(3 + 4x) = 54 20 + 24x + (3 * -2 + 4x * -2) = 54 20 + 24x + (-6 + -8x) = 54 Reorder the terms: 20 + -6 + 24x + -8x = 54 Combine like terms: 20 + -6 = 14 14 + 24x + -8x = 54 Combine like terms: 24x + -8x = 16x 14 + 16x = 54 Solving 14 + 16x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 16x = 54 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 54 + -14 16x = 54 + -14 Combine like terms: 54 + -14 = 40 16x = 40 Divide each side by '16'. x = 2.5 Simplifying x = 2.5
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