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Simplifying 10 + -4x + -3y = 12 + 5y + -2x Reorder the terms: 10 + -4x + -3y = 12 + -2x + 5y Solving 10 + -4x + -3y = 12 + -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. 10 + -4x + 2x + -3y = 12 + -2x + 2x + 5y Combine like terms: -4x + 2x = -2x 10 + -2x + -3y = 12 + -2x + 2x + 5y Combine like terms: -2x + 2x = 0 10 + -2x + -3y = 12 + 0 + 5y 10 + -2x + -3y = 12 + 5y Add '-10' to each side of the equation. 10 + -2x + -10 + -3y = 12 + -10 + 5y Reorder the terms: 10 + -10 + -2x + -3y = 12 + -10 + 5y Combine like terms: 10 + -10 = 0 0 + -2x + -3y = 12 + -10 + 5y -2x + -3y = 12 + -10 + 5y Combine like terms: 12 + -10 = 2 -2x + -3y = 2 + 5y Add '3y' to each side of the equation. -2x + -3y + 3y = 2 + 5y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 2 + 5y + 3y -2x = 2 + 5y + 3y Combine like terms: 5y + 3y = 8y -2x = 2 + 8y Divide each side by '-2'. x = -1 + -4y Simplifying x = -1 + -4y
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