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Simplifying 3x + -4y + 12 = 11x + 48 Reorder the terms: 12 + 3x + -4y = 11x + 48 Reorder the terms: 12 + 3x + -4y = 48 + 11x Solving 12 + 3x + -4y = 48 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 3x + -11x + -4y = 48 + 11x + -11x Combine like terms: 3x + -11x = -8x 12 + -8x + -4y = 48 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -8x + -4y = 48 + 0 12 + -8x + -4y = 48 Add '-12' to each side of the equation. 12 + -8x + -12 + -4y = 48 + -12 Reorder the terms: 12 + -12 + -8x + -4y = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -8x + -4y = 48 + -12 -8x + -4y = 48 + -12 Combine like terms: 48 + -12 = 36 -8x + -4y = 36 Add '4y' to each side of the equation. -8x + -4y + 4y = 36 + 4y Combine like terms: -4y + 4y = 0 -8x + 0 = 36 + 4y -8x = 36 + 4y Divide each side by '-8'. x = -4.5 + -0.5y Simplifying x = -4.5 + -0.5y
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