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Simplifying 4x + 7y + -12 = 6y + 6x + -18 Reorder the terms: -12 + 4x + 7y = 6y + 6x + -18 Reorder the terms: -12 + 4x + 7y = -18 + 6x + 6y Solving -12 + 4x + 7y = -18 + 6x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 4x + -6x + 7y = -18 + 6x + -6x + 6y Combine like terms: 4x + -6x = -2x -12 + -2x + 7y = -18 + 6x + -6x + 6y Combine like terms: 6x + -6x = 0 -12 + -2x + 7y = -18 + 0 + 6y -12 + -2x + 7y = -18 + 6y Add '12' to each side of the equation. -12 + -2x + 12 + 7y = -18 + 12 + 6y Reorder the terms: -12 + 12 + -2x + 7y = -18 + 12 + 6y Combine like terms: -12 + 12 = 0 0 + -2x + 7y = -18 + 12 + 6y -2x + 7y = -18 + 12 + 6y Combine like terms: -18 + 12 = -6 -2x + 7y = -6 + 6y Add '-7y' to each side of the equation. -2x + 7y + -7y = -6 + 6y + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = -6 + 6y + -7y -2x = -6 + 6y + -7y Combine like terms: 6y + -7y = -1y -2x = -6 + -1y Divide each side by '-2'. x = 3 + 0.5y Simplifying x = 3 + 0.5y
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