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Simplifying (7x + -1) * 6 = 4(3 + 5x) * 5 Reorder the terms: (-1 + 7x) * 6 = 4(3 + 5x) * 5 Reorder the terms for easier multiplication: 6(-1 + 7x) = 4(3 + 5x) * 5 (-1 * 6 + 7x * 6) = 4(3 + 5x) * 5 (-6 + 42x) = 4(3 + 5x) * 5 Reorder the terms for easier multiplication: -6 + 42x = 4 * 5(3 + 5x) Multiply 4 * 5 -6 + 42x = 20(3 + 5x) -6 + 42x = (3 * 20 + 5x * 20) -6 + 42x = (60 + 100x) Solving -6 + 42x = 60 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -6 + 42x + -100x = 60 + 100x + -100x Combine like terms: 42x + -100x = -58x -6 + -58x = 60 + 100x + -100x Combine like terms: 100x + -100x = 0 -6 + -58x = 60 + 0 -6 + -58x = 60 Add '6' to each side of the equation. -6 + 6 + -58x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + -58x = 60 + 6 -58x = 60 + 6 Combine like terms: 60 + 6 = 66 -58x = 66 Divide each side by '-58'. x = -1.137931034 Simplifying x = -1.137931034
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