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