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Simplifying 4x + y + 5 + 6x + -7y + -2 = 0 Reorder the terms: 5 + -2 + 4x + 6x + y + -7y = 0 Combine like terms: 5 + -2 = 3 3 + 4x + 6x + y + -7y = 0 Combine like terms: 4x + 6x = 10x 3 + 10x + y + -7y = 0 Combine like terms: y + -7y = -6y 3 + 10x + -6y = 0 Solving 3 + 10x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10x + -3 + -6y = 0 + -3 Reorder the terms: 3 + -3 + 10x + -6y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x + -6y = 0 + -3 10x + -6y = 0 + -3 Combine like terms: 0 + -3 = -3 10x + -6y = -3 Add '6y' to each side of the equation. 10x + -6y + 6y = -3 + 6y Combine like terms: -6y + 6y = 0 10x + 0 = -3 + 6y 10x = -3 + 6y Divide each side by '10'. x = -0.3 + 0.6y Simplifying x = -0.3 + 0.6y
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