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Simplifying 5y + 10 + -1x = 4y + 3x Reorder the terms: 10 + -1x + 5y = 4y + 3x Reorder the terms: 10 + -1x + 5y = 3x + 4y Solving 10 + -1x + 5y = 3x + 4y 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. 10 + -1x + -3x + 5y = 3x + -3x + 4y Combine like terms: -1x + -3x = -4x 10 + -4x + 5y = 3x + -3x + 4y Combine like terms: 3x + -3x = 0 10 + -4x + 5y = 0 + 4y 10 + -4x + 5y = 4y Add '-10' to each side of the equation. 10 + -4x + -10 + 5y = -10 + 4y Reorder the terms: 10 + -10 + -4x + 5y = -10 + 4y Combine like terms: 10 + -10 = 0 0 + -4x + 5y = -10 + 4y -4x + 5y = -10 + 4y Add '-5y' to each side of the equation. -4x + 5y + -5y = -10 + 4y + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = -10 + 4y + -5y -4x = -10 + 4y + -5y Combine like terms: 4y + -5y = -1y -4x = -10 + -1y Divide each side by '-4'. x = 2.5 + 0.25y Simplifying x = 2.5 + 0.25y
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