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Simplifying -1(y + -1x) + 6(5x + 7) = 0 Reorder the terms: -1(-1x + y) + 6(5x + 7) = 0 (-1x * -1 + y * -1) + 6(5x + 7) = 0 (1x + -1y) + 6(5x + 7) = 0 Reorder the terms: 1x + -1y + 6(7 + 5x) = 0 1x + -1y + (7 * 6 + 5x * 6) = 0 1x + -1y + (42 + 30x) = 0 Reorder the terms: 42 + 1x + 30x + -1y = 0 Combine like terms: 1x + 30x = 31x 42 + 31x + -1y = 0 Solving 42 + 31x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 31x + -42 + -1y = 0 + -42 Reorder the terms: 42 + -42 + 31x + -1y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 31x + -1y = 0 + -42 31x + -1y = 0 + -42 Combine like terms: 0 + -42 = -42 31x + -1y = -42 Add 'y' to each side of the equation. 31x + -1y + y = -42 + y Combine like terms: -1y + y = 0 31x + 0 = -42 + y 31x = -42 + y Divide each side by '31'. x = -1.35483871 + 0.03225806452y Simplifying x = -1.35483871 + 0.03225806452y
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