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