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Simplifying 4y + -6x + 7 = 3y + 2x + 12 Reorder the terms: 7 + -6x + 4y = 3y + 2x + 12 Reorder the terms: 7 + -6x + 4y = 12 + 2x + 3y Solving 7 + -6x + 4y = 12 + 2x + 3y 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. 7 + -6x + -2x + 4y = 12 + 2x + -2x + 3y Combine like terms: -6x + -2x = -8x 7 + -8x + 4y = 12 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 7 + -8x + 4y = 12 + 0 + 3y 7 + -8x + 4y = 12 + 3y Add '-7' to each side of the equation. 7 + -8x + -7 + 4y = 12 + -7 + 3y Reorder the terms: 7 + -7 + -8x + 4y = 12 + -7 + 3y Combine like terms: 7 + -7 = 0 0 + -8x + 4y = 12 + -7 + 3y -8x + 4y = 12 + -7 + 3y Combine like terms: 12 + -7 = 5 -8x + 4y = 5 + 3y Add '-4y' to each side of the equation. -8x + 4y + -4y = 5 + 3y + -4y Combine like terms: 4y + -4y = 0 -8x + 0 = 5 + 3y + -4y -8x = 5 + 3y + -4y Combine like terms: 3y + -4y = -1y -8x = 5 + -1y Divide each side by '-8'. x = -0.625 + 0.125y Simplifying x = -0.625 + 0.125y
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