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Simplifying 3(3x + 5) + -2(4x + -5) = 6(7x + 1) + -5 Reorder the terms: 3(5 + 3x) + -2(4x + -5) = 6(7x + 1) + -5 (5 * 3 + 3x * 3) + -2(4x + -5) = 6(7x + 1) + -5 (15 + 9x) + -2(4x + -5) = 6(7x + 1) + -5 Reorder the terms: 15 + 9x + -2(-5 + 4x) = 6(7x + 1) + -5 15 + 9x + (-5 * -2 + 4x * -2) = 6(7x + 1) + -5 15 + 9x + (10 + -8x) = 6(7x + 1) + -5 Reorder the terms: 15 + 10 + 9x + -8x = 6(7x + 1) + -5 Combine like terms: 15 + 10 = 25 25 + 9x + -8x = 6(7x + 1) + -5 Combine like terms: 9x + -8x = 1x 25 + 1x = 6(7x + 1) + -5 Reorder the terms: 25 + 1x = 6(1 + 7x) + -5 25 + 1x = (1 * 6 + 7x * 6) + -5 25 + 1x = (6 + 42x) + -5 Reorder the terms: 25 + 1x = 6 + -5 + 42x Combine like terms: 6 + -5 = 1 25 + 1x = 1 + 42x Solving 25 + 1x = 1 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 25 + 1x + -42x = 1 + 42x + -42x Combine like terms: 1x + -42x = -41x 25 + -41x = 1 + 42x + -42x Combine like terms: 42x + -42x = 0 25 + -41x = 1 + 0 25 + -41x = 1 Add '-25' to each side of the equation. 25 + -25 + -41x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -41x = 1 + -25 -41x = 1 + -25 Combine like terms: 1 + -25 = -24 -41x = -24 Divide each side by '-41'. x = 0.5853658537 Simplifying x = 0.5853658537
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