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Simplifying 7(4 + 6x) + 4(5 + 3x) = 48 (4 * 7 + 6x * 7) + 4(5 + 3x) = 48 (28 + 42x) + 4(5 + 3x) = 48 28 + 42x + (5 * 4 + 3x * 4) = 48 28 + 42x + (20 + 12x) = 48 Reorder the terms: 28 + 20 + 42x + 12x = 48 Combine like terms: 28 + 20 = 48 48 + 42x + 12x = 48 Combine like terms: 42x + 12x = 54x 48 + 54x = 48 Add '-48' to each side of the equation. 48 + -48 + 54x = 48 + -48 Combine like terms: 48 + -48 = 0 0 + 54x = 48 + -48 54x = 48 + -48 Combine like terms: 48 + -48 = 0 54x = 0 Solving 54x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '54'. x = 0 Simplifying x = 0
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