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Simplifying 4x + 3y + 7 = 2x + 7y + 15 Reorder the terms: 7 + 4x + 3y = 2x + 7y + 15 Reorder the terms: 7 + 4x + 3y = 15 + 2x + 7y Solving 7 + 4x + 3y = 15 + 2x + 7y 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 + 4x + -2x + 3y = 15 + 2x + -2x + 7y Combine like terms: 4x + -2x = 2x 7 + 2x + 3y = 15 + 2x + -2x + 7y Combine like terms: 2x + -2x = 0 7 + 2x + 3y = 15 + 0 + 7y 7 + 2x + 3y = 15 + 7y Add '-7' to each side of the equation. 7 + 2x + -7 + 3y = 15 + -7 + 7y Reorder the terms: 7 + -7 + 2x + 3y = 15 + -7 + 7y Combine like terms: 7 + -7 = 0 0 + 2x + 3y = 15 + -7 + 7y 2x + 3y = 15 + -7 + 7y Combine like terms: 15 + -7 = 8 2x + 3y = 8 + 7y Add '-3y' to each side of the equation. 2x + 3y + -3y = 8 + 7y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 8 + 7y + -3y 2x = 8 + 7y + -3y Combine like terms: 7y + -3y = 4y 2x = 8 + 4y Divide each side by '2'. x = 4 + 2y Simplifying x = 4 + 2y
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