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Simplifying 8 + -1(4x + y) = 5(x + 6) + -2 8 + (4x * -1 + y * -1) = 5(x + 6) + -2 8 + (-4x + -1y) = 5(x + 6) + -2 Reorder the terms: 8 + -4x + -1y = 5(6 + x) + -2 8 + -4x + -1y = (6 * 5 + x * 5) + -2 8 + -4x + -1y = (30 + 5x) + -2 Reorder the terms: 8 + -4x + -1y = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 8 + -4x + -1y = 28 + 5x Solving 8 + -4x + -1y = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -4x + -5x + -1y = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x + -1y = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x + -1y = 28 + 0 8 + -9x + -1y = 28 Add '-8' to each side of the equation. 8 + -9x + -8 + -1y = 28 + -8 Reorder the terms: 8 + -8 + -9x + -1y = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -9x + -1y = 28 + -8 -9x + -1y = 28 + -8 Combine like terms: 28 + -8 = 20 -9x + -1y = 20 Add 'y' to each side of the equation. -9x + -1y + y = 20 + y Combine like terms: -1y + y = 0 -9x + 0 = 20 + y -9x = 20 + y Divide each side by '-9'. x = -2.222222222 + -0.1111111111y Simplifying x = -2.222222222 + -0.1111111111y
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