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Simplifying 4x + 10 + -10y + 5 = 5y + 2x + -20 Reorder the terms: 10 + 5 + 4x + -10y = 5y + 2x + -20 Combine like terms: 10 + 5 = 15 15 + 4x + -10y = 5y + 2x + -20 Reorder the terms: 15 + 4x + -10y = -20 + 2x + 5y Solving 15 + 4x + -10y = -20 + 2x + 5y 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. 15 + 4x + -2x + -10y = -20 + 2x + -2x + 5y Combine like terms: 4x + -2x = 2x 15 + 2x + -10y = -20 + 2x + -2x + 5y Combine like terms: 2x + -2x = 0 15 + 2x + -10y = -20 + 0 + 5y 15 + 2x + -10y = -20 + 5y Add '-15' to each side of the equation. 15 + 2x + -15 + -10y = -20 + -15 + 5y Reorder the terms: 15 + -15 + 2x + -10y = -20 + -15 + 5y Combine like terms: 15 + -15 = 0 0 + 2x + -10y = -20 + -15 + 5y 2x + -10y = -20 + -15 + 5y Combine like terms: -20 + -15 = -35 2x + -10y = -35 + 5y Add '10y' to each side of the equation. 2x + -10y + 10y = -35 + 5y + 10y Combine like terms: -10y + 10y = 0 2x + 0 = -35 + 5y + 10y 2x = -35 + 5y + 10y Combine like terms: 5y + 10y = 15y 2x = -35 + 15y Divide each side by '2'. x = -17.5 + 7.5y Simplifying x = -17.5 + 7.5y
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