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Simplifying (6x + -2y) + -1(5 + -2x) + (7 + 2y) = 0 Remove parenthesis around (6x + -2y) 6x + -2y + -1(5 + -2x) + (7 + 2y) = 0 6x + -2y + (5 * -1 + -2x * -1) + (7 + 2y) = 0 6x + -2y + (-5 + 2x) + (7 + 2y) = 0 Remove parenthesis around (7 + 2y) 6x + -2y + -5 + 2x + 7 + 2y = 0 Reorder the terms: -5 + 7 + 6x + 2x + -2y + 2y = 0 Combine like terms: -5 + 7 = 2 2 + 6x + 2x + -2y + 2y = 0 Combine like terms: 6x + 2x = 8x 2 + 8x + -2y + 2y = 0 Combine like terms: -2y + 2y = 0 2 + 8x + 0 = 0 2 + 8x = 0 Solving 2 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 0 + -2 8x = 0 + -2 Combine like terms: 0 + -2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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