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Simplifying 5(x + 2) + 10y = 4(2y + -5) Reorder the terms: 5(2 + x) + 10y = 4(2y + -5) (2 * 5 + x * 5) + 10y = 4(2y + -5) (10 + 5x) + 10y = 4(2y + -5) Reorder the terms: 10 + 5x + 10y = 4(-5 + 2y) 10 + 5x + 10y = (-5 * 4 + 2y * 4) 10 + 5x + 10y = (-20 + 8y) Solving 10 + 5x + 10y = -20 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5x + -10 + 10y = -20 + -10 + 8y Reorder the terms: 10 + -10 + 5x + 10y = -20 + -10 + 8y Combine like terms: 10 + -10 = 0 0 + 5x + 10y = -20 + -10 + 8y 5x + 10y = -20 + -10 + 8y Combine like terms: -20 + -10 = -30 5x + 10y = -30 + 8y Add '-10y' to each side of the equation. 5x + 10y + -10y = -30 + 8y + -10y Combine like terms: 10y + -10y = 0 5x + 0 = -30 + 8y + -10y 5x = -30 + 8y + -10y Combine like terms: 8y + -10y = -2y 5x = -30 + -2y Divide each side by '5'. x = -6 + -0.4y Simplifying x = -6 + -0.4y
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