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