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Simplifying 4(x + 2) + 5x = 7(x + -2) + 7 + 2y Reorder the terms: 4(2 + x) + 5x = 7(x + -2) + 7 + 2y (2 * 4 + x * 4) + 5x = 7(x + -2) + 7 + 2y (8 + 4x) + 5x = 7(x + -2) + 7 + 2y Combine like terms: 4x + 5x = 9x 8 + 9x = 7(x + -2) + 7 + 2y Reorder the terms: 8 + 9x = 7(-2 + x) + 7 + 2y 8 + 9x = (-2 * 7 + x * 7) + 7 + 2y 8 + 9x = (-14 + 7x) + 7 + 2y Reorder the terms: 8 + 9x = -14 + 7 + 7x + 2y Combine like terms: -14 + 7 = -7 8 + 9x = -7 + 7x + 2y Solving 8 + 9x = -7 + 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. 8 + 9x + -7x = -7 + 7x + -7x + 2y Combine like terms: 9x + -7x = 2x 8 + 2x = -7 + 7x + -7x + 2y Combine like terms: 7x + -7x = 0 8 + 2x = -7 + 0 + 2y 8 + 2x = -7 + 2y Add '-8' to each side of the equation. 8 + -8 + 2x = -7 + -8 + 2y Combine like terms: 8 + -8 = 0 0 + 2x = -7 + -8 + 2y 2x = -7 + -8 + 2y Combine like terms: -7 + -8 = -15 2x = -15 + 2y Divide each side by '2'. x = -7.5 + y Simplifying x = -7.5 + y
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