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Simplifying 8x + -1(x + -7) = 2x + -1(x + -1y) Reorder the terms: 8x + -1(-7 + x) = 2x + -1(x + -1y) 8x + (-7 * -1 + x * -1) = 2x + -1(x + -1y) 8x + (7 + -1x) = 2x + -1(x + -1y) Reorder the terms: 7 + 8x + -1x = 2x + -1(x + -1y) Combine like terms: 8x + -1x = 7x 7 + 7x = 2x + -1(x + -1y) 7 + 7x = 2x + (x * -1 + -1y * -1) 7 + 7x = 2x + (-1x + 1y) Combine like terms: 2x + -1x = 1x 7 + 7x = 1x + 1y Solving 7 + 7x = 1x + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 7x + -1x = 1x + -1x + 1y Combine like terms: 7x + -1x = 6x 7 + 6x = 1x + -1x + 1y Combine like terms: 1x + -1x = 0 7 + 6x = 0 + 1y 7 + 6x = 1y Add '-7' to each side of the equation. 7 + -7 + 6x = -7 + 1y Combine like terms: 7 + -7 = 0 0 + 6x = -7 + 1y 6x = -7 + 1y Divide each side by '6'. x = -1.166666667 + 0.1666666667y Simplifying x = -1.166666667 + 0.1666666667y
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