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Simplifying 7 + -3(x + -1y) = 5x + 2 7 + (x * -3 + -1y * -3) = 5x + 2 7 + (-3x + 3y) = 5x + 2 Reorder the terms: 7 + -3x + 3y = 2 + 5x Solving 7 + -3x + 3y = 2 + 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. 7 + -3x + -5x + 3y = 2 + 5x + -5x Combine like terms: -3x + -5x = -8x 7 + -8x + 3y = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -8x + 3y = 2 + 0 7 + -8x + 3y = 2 Add '-7' to each side of the equation. 7 + -8x + -7 + 3y = 2 + -7 Reorder the terms: 7 + -7 + -8x + 3y = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -8x + 3y = 2 + -7 -8x + 3y = 2 + -7 Combine like terms: 2 + -7 = -5 -8x + 3y = -5 Add '-3y' to each side of the equation. -8x + 3y + -3y = -5 + -3y Combine like terms: 3y + -3y = 0 -8x + 0 = -5 + -3y -8x = -5 + -3y Divide each side by '-8'. x = 0.625 + 0.375y Simplifying x = 0.625 + 0.375y
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