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Simplifying 5(5 + -4x + -6x) + 6(7x + 5) = 7 Combine like terms: -4x + -6x = -10x 5(5 + -10x) + 6(7x + 5) = 7 (5 * 5 + -10x * 5) + 6(7x + 5) = 7 (25 + -50x) + 6(7x + 5) = 7 Reorder the terms: 25 + -50x + 6(5 + 7x) = 7 25 + -50x + (5 * 6 + 7x * 6) = 7 25 + -50x + (30 + 42x) = 7 Reorder the terms: 25 + 30 + -50x + 42x = 7 Combine like terms: 25 + 30 = 55 55 + -50x + 42x = 7 Combine like terms: -50x + 42x = -8x 55 + -8x = 7 Solving 55 + -8x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + -8x = 7 + -55 -8x = 7 + -55 Combine like terms: 7 + -55 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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