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Simplifying 6x + 1 = 9(3x + 7) + -1(x + 5) Reorder the terms: 1 + 6x = 9(3x + 7) + -1(x + 5) Reorder the terms: 1 + 6x = 9(7 + 3x) + -1(x + 5) 1 + 6x = (7 * 9 + 3x * 9) + -1(x + 5) 1 + 6x = (63 + 27x) + -1(x + 5) Reorder the terms: 1 + 6x = 63 + 27x + -1(5 + x) 1 + 6x = 63 + 27x + (5 * -1 + x * -1) 1 + 6x = 63 + 27x + (-5 + -1x) Reorder the terms: 1 + 6x = 63 + -5 + 27x + -1x Combine like terms: 63 + -5 = 58 1 + 6x = 58 + 27x + -1x Combine like terms: 27x + -1x = 26x 1 + 6x = 58 + 26x Solving 1 + 6x = 58 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 1 + 6x + -26x = 58 + 26x + -26x Combine like terms: 6x + -26x = -20x 1 + -20x = 58 + 26x + -26x Combine like terms: 26x + -26x = 0 1 + -20x = 58 + 0 1 + -20x = 58 Add '-1' to each side of the equation. 1 + -1 + -20x = 58 + -1 Combine like terms: 1 + -1 = 0 0 + -20x = 58 + -1 -20x = 58 + -1 Combine like terms: 58 + -1 = 57 -20x = 57 Divide each side by '-20'. x = -2.85 Simplifying x = -2.85
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