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Simplifying 4x + 4y + 7 = 12x + 11 Reorder the terms: 7 + 4x + 4y = 12x + 11 Reorder the terms: 7 + 4x + 4y = 11 + 12x Solving 7 + 4x + 4y = 11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 4x + -12x + 4y = 11 + 12x + -12x Combine like terms: 4x + -12x = -8x 7 + -8x + 4y = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -8x + 4y = 11 + 0 7 + -8x + 4y = 11 Add '-7' to each side of the equation. 7 + -8x + -7 + 4y = 11 + -7 Reorder the terms: 7 + -7 + -8x + 4y = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -8x + 4y = 11 + -7 -8x + 4y = 11 + -7 Combine like terms: 11 + -7 = 4 -8x + 4y = 4 Add '-4y' to each side of the equation. -8x + 4y + -4y = 4 + -4y Combine like terms: 4y + -4y = 0 -8x + 0 = 4 + -4y -8x = 4 + -4y Divide each side by '-8'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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