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Simplifying 4x + 3y + 9 = 10x + 12 Reorder the terms: 9 + 4x + 3y = 10x + 12 Reorder the terms: 9 + 4x + 3y = 12 + 10x Solving 9 + 4x + 3y = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 4x + -10x + 3y = 12 + 10x + -10x Combine like terms: 4x + -10x = -6x 9 + -6x + 3y = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -6x + 3y = 12 + 0 9 + -6x + 3y = 12 Add '-9' to each side of the equation. 9 + -6x + -9 + 3y = 12 + -9 Reorder the terms: 9 + -9 + -6x + 3y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -6x + 3y = 12 + -9 -6x + 3y = 12 + -9 Combine like terms: 12 + -9 = 3 -6x + 3y = 3 Add '-3y' to each side of the equation. -6x + 3y + -3y = 3 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 3 + -3y -6x = 3 + -3y Divide each side by '-6'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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