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Simplifying 3x + -13 = 2(x + y) + 7 Reorder the terms: -13 + 3x = 2(x + y) + 7 -13 + 3x = (x * 2 + y * 2) + 7 -13 + 3x = (2x + 2y) + 7 Reorder the terms: -13 + 3x = 7 + 2x + 2y Solving -13 + 3x = 7 + 2x + 2y 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. -13 + 3x + -2x = 7 + 2x + -2x + 2y Combine like terms: 3x + -2x = 1x -13 + 1x = 7 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 -13 + 1x = 7 + 0 + 2y -13 + 1x = 7 + 2y Add '13' to each side of the equation. -13 + 13 + 1x = 7 + 13 + 2y Combine like terms: -13 + 13 = 0 0 + 1x = 7 + 13 + 2y 1x = 7 + 13 + 2y Combine like terms: 7 + 13 = 20 1x = 20 + 2y Divide each side by '1'. x = 20 + 2y Simplifying x = 20 + 2y
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