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Simplifying 5y + -1(x + 3) = 3x + 1 Reorder the terms: 5y + -1(3 + x) = 3x + 1 5y + (3 * -1 + x * -1) = 3x + 1 5y + (-3 + -1x) = 3x + 1 Reorder the terms: -3 + -1x + 5y = 3x + 1 Reorder the terms: -3 + -1x + 5y = 1 + 3x Solving -3 + -1x + 5y = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -1x + -3x + 5y = 1 + 3x + -3x Combine like terms: -1x + -3x = -4x -3 + -4x + 5y = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -4x + 5y = 1 + 0 -3 + -4x + 5y = 1 Add '3' to each side of the equation. -3 + -4x + 3 + 5y = 1 + 3 Reorder the terms: -3 + 3 + -4x + 5y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -4x + 5y = 1 + 3 -4x + 5y = 1 + 3 Combine like terms: 1 + 3 = 4 -4x + 5y = 4 Add '-5y' to each side of the equation. -4x + 5y + -5y = 4 + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = 4 + -5y -4x = 4 + -5y Divide each side by '-4'. x = -1 + 1.25y Simplifying x = -1 + 1.25y
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