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Simplifying 5y + 4x + -7 = 4x + 3 + -1x Reorder the terms: -7 + 4x + 5y = 4x + 3 + -1x Reorder the terms: -7 + 4x + 5y = 3 + 4x + -1x Combine like terms: 4x + -1x = 3x -7 + 4x + 5y = 3 + 3x Solving -7 + 4x + 5y = 3 + 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. -7 + 4x + -3x + 5y = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x + 5y = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x + 5y = 3 + 0 -7 + 1x + 5y = 3 Add '7' to each side of the equation. -7 + 1x + 7 + 5y = 3 + 7 Reorder the terms: -7 + 7 + 1x + 5y = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 1x + 5y = 3 + 7 1x + 5y = 3 + 7 Combine like terms: 3 + 7 = 10 1x + 5y = 10 Add '-5y' to each side of the equation. 1x + 5y + -5y = 10 + -5y Combine like terms: 5y + -5y = 0 1x + 0 = 10 + -5y 1x = 10 + -5y Divide each side by '1'. x = 10 + -5y Simplifying x = 10 + -5y
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