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Simplifying 6(5x + 4) + 6(3x + 5) = 35 Reorder the terms: 6(4 + 5x) + 6(3x + 5) = 35 (4 * 6 + 5x * 6) + 6(3x + 5) = 35 (24 + 30x) + 6(3x + 5) = 35 Reorder the terms: 24 + 30x + 6(5 + 3x) = 35 24 + 30x + (5 * 6 + 3x * 6) = 35 24 + 30x + (30 + 18x) = 35 Reorder the terms: 24 + 30 + 30x + 18x = 35 Combine like terms: 24 + 30 = 54 54 + 30x + 18x = 35 Combine like terms: 30x + 18x = 48x 54 + 48x = 35 Solving 54 + 48x = 35 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 + 48x = 35 + -54 Combine like terms: 54 + -54 = 0 0 + 48x = 35 + -54 48x = 35 + -54 Combine like terms: 35 + -54 = -19 48x = -19 Divide each side by '48'. x = -0.3958333333 Simplifying x = -0.3958333333
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