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Simplifying 6x + 3y + 7 = 4x + 2y + -3 Reorder the terms: 7 + 6x + 3y = 4x + 2y + -3 Reorder the terms: 7 + 6x + 3y = -3 + 4x + 2y Solving 7 + 6x + 3y = -3 + 4x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 6x + -4x + 3y = -3 + 4x + -4x + 2y Combine like terms: 6x + -4x = 2x 7 + 2x + 3y = -3 + 4x + -4x + 2y Combine like terms: 4x + -4x = 0 7 + 2x + 3y = -3 + 0 + 2y 7 + 2x + 3y = -3 + 2y Add '-7' to each side of the equation. 7 + 2x + -7 + 3y = -3 + -7 + 2y Reorder the terms: 7 + -7 + 2x + 3y = -3 + -7 + 2y Combine like terms: 7 + -7 = 0 0 + 2x + 3y = -3 + -7 + 2y 2x + 3y = -3 + -7 + 2y Combine like terms: -3 + -7 = -10 2x + 3y = -10 + 2y Add '-3y' to each side of the equation. 2x + 3y + -3y = -10 + 2y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -10 + 2y + -3y 2x = -10 + 2y + -3y Combine like terms: 2y + -3y = -1y 2x = -10 + -1y Divide each side by '2'. x = -5 + -0.5y Simplifying x = -5 + -0.5y
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