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Simplifying x + 2y + -4 + 5(2x + 3) + -7(2y + -4) + 5 = 0 Reorder the terms: x + 2y + -4 + 5(3 + 2x) + -7(2y + -4) + 5 = 0 x + 2y + -4 + (3 * 5 + 2x * 5) + -7(2y + -4) + 5 = 0 x + 2y + -4 + (15 + 10x) + -7(2y + -4) + 5 = 0 Reorder the terms: x + 2y + -4 + 15 + 10x + -7(-4 + 2y) + 5 = 0 x + 2y + -4 + 15 + 10x + (-4 * -7 + 2y * -7) + 5 = 0 x + 2y + -4 + 15 + 10x + (28 + -14y) + 5 = 0 Reorder the terms: -4 + 15 + 28 + 5 + x + 10x + 2y + -14y = 0 Combine like terms: -4 + 15 = 11 11 + 28 + 5 + x + 10x + 2y + -14y = 0 Combine like terms: 11 + 28 = 39 39 + 5 + x + 10x + 2y + -14y = 0 Combine like terms: 39 + 5 = 44 44 + x + 10x + 2y + -14y = 0 Combine like terms: x + 10x = 11x 44 + 11x + 2y + -14y = 0 Combine like terms: 2y + -14y = -12y 44 + 11x + -12y = 0 Solving 44 + 11x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + 11x + -44 + -12y = 0 + -44 Reorder the terms: 44 + -44 + 11x + -12y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 11x + -12y = 0 + -44 11x + -12y = 0 + -44 Combine like terms: 0 + -44 = -44 11x + -12y = -44 Add '12y' to each side of the equation. 11x + -12y + 12y = -44 + 12y Combine like terms: -12y + 12y = 0 11x + 0 = -44 + 12y 11x = -44 + 12y Divide each side by '11'. x = -4 + 1.090909091y Simplifying x = -4 + 1.090909091y
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