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Simplifying 7y + 3(4x + 6) + -8x = 6y + -3 Reorder the terms: 7y + 3(6 + 4x) + -8x = 6y + -3 7y + (6 * 3 + 4x * 3) + -8x = 6y + -3 7y + (18 + 12x) + -8x = 6y + -3 Reorder the terms: 18 + 12x + -8x + 7y = 6y + -3 Combine like terms: 12x + -8x = 4x 18 + 4x + 7y = 6y + -3 Reorder the terms: 18 + 4x + 7y = -3 + 6y Solving 18 + 4x + 7y = -3 + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 4x + -18 + 7y = -3 + -18 + 6y Reorder the terms: 18 + -18 + 4x + 7y = -3 + -18 + 6y Combine like terms: 18 + -18 = 0 0 + 4x + 7y = -3 + -18 + 6y 4x + 7y = -3 + -18 + 6y Combine like terms: -3 + -18 = -21 4x + 7y = -21 + 6y Add '-7y' to each side of the equation. 4x + 7y + -7y = -21 + 6y + -7y Combine like terms: 7y + -7y = 0 4x + 0 = -21 + 6y + -7y 4x = -21 + 6y + -7y Combine like terms: 6y + -7y = -1y 4x = -21 + -1y Divide each side by '4'. x = -5.25 + -0.25y Simplifying x = -5.25 + -0.25y
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