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Simplifying 4x + 10y + -14 + 5y + -8x + 24 = 0 Reorder the terms: -14 + 24 + 4x + -8x + 10y + 5y = 0 Combine like terms: -14 + 24 = 10 10 + 4x + -8x + 10y + 5y = 0 Combine like terms: 4x + -8x = -4x 10 + -4x + 10y + 5y = 0 Combine like terms: 10y + 5y = 15y 10 + -4x + 15y = 0 Solving 10 + -4x + 15y = 0 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 + -4x + -10 + 15y = 0 + -10 Reorder the terms: 10 + -10 + -4x + 15y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x + 15y = 0 + -10 -4x + 15y = 0 + -10 Combine like terms: 0 + -10 = -10 -4x + 15y = -10 Add '-15y' to each side of the equation. -4x + 15y + -15y = -10 + -15y Combine like terms: 15y + -15y = 0 -4x + 0 = -10 + -15y -4x = -10 + -15y Divide each side by '-4'. x = 2.5 + 3.75y Simplifying x = 2.5 + 3.75y
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