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Simplifying 2(2x + 3y) + 3(5 + -2x) + 1 + y = 0 (2x * 2 + 3y * 2) + 3(5 + -2x) + 1 + y = 0 (4x + 6y) + 3(5 + -2x) + 1 + y = 0 4x + 6y + (5 * 3 + -2x * 3) + 1 + y = 0 4x + 6y + (15 + -6x) + 1 + y = 0 Reorder the terms: 15 + 1 + 4x + -6x + 6y + y = 0 Combine like terms: 15 + 1 = 16 16 + 4x + -6x + 6y + y = 0 Combine like terms: 4x + -6x = -2x 16 + -2x + 6y + y = 0 Combine like terms: 6y + y = 7y 16 + -2x + 7y = 0 Solving 16 + -2x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -2x + -16 + 7y = 0 + -16 Reorder the terms: 16 + -16 + -2x + 7y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2x + 7y = 0 + -16 -2x + 7y = 0 + -16 Combine like terms: 0 + -16 = -16 -2x + 7y = -16 Add '-7y' to each side of the equation. -2x + 7y + -7y = -16 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = -16 + -7y -2x = -16 + -7y Divide each side by '-2'. x = 8 + 3.5y Simplifying x = 8 + 3.5y
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