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Simplifying 5 + -1(4x + -1y) = 2x + 7 5 + (4x * -1 + -1y * -1) = 2x + 7 5 + (-4x + 1y) = 2x + 7 Reorder the terms: 5 + -4x + 1y = 7 + 2x Solving 5 + -4x + 1y = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -4x + -2x + 1y = 7 + 2x + -2x Combine like terms: -4x + -2x = -6x 5 + -6x + 1y = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -6x + 1y = 7 + 0 5 + -6x + 1y = 7 Add '-5' to each side of the equation. 5 + -6x + -5 + 1y = 7 + -5 Reorder the terms: 5 + -5 + -6x + 1y = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -6x + 1y = 7 + -5 -6x + 1y = 7 + -5 Combine like terms: 7 + -5 = 2 -6x + 1y = 2 Add '-1y' to each side of the equation. -6x + 1y + -1y = 2 + -1y Combine like terms: 1y + -1y = 0 -6x + 0 = 2 + -1y -6x = 2 + -1y Divide each side by '-6'. x = -0.3333333333 + 0.1666666667y Simplifying x = -0.3333333333 + 0.1666666667y
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