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Simplifying 7(5y + -2x) + -2(3x + 4) = 0 Reorder the terms: 7(-2x + 5y) + -2(3x + 4) = 0 (-2x * 7 + 5y * 7) + -2(3x + 4) = 0 (-14x + 35y) + -2(3x + 4) = 0 Reorder the terms: -14x + 35y + -2(4 + 3x) = 0 -14x + 35y + (4 * -2 + 3x * -2) = 0 -14x + 35y + (-8 + -6x) = 0 Reorder the terms: -8 + -14x + -6x + 35y = 0 Combine like terms: -14x + -6x = -20x -8 + -20x + 35y = 0 Solving -8 + -20x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -20x + 8 + 35y = 0 + 8 Reorder the terms: -8 + 8 + -20x + 35y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -20x + 35y = 0 + 8 -20x + 35y = 0 + 8 Combine like terms: 0 + 8 = 8 -20x + 35y = 8 Add '-35y' to each side of the equation. -20x + 35y + -35y = 8 + -35y Combine like terms: 35y + -35y = 0 -20x + 0 = 8 + -35y -20x = 8 + -35y Divide each side by '-20'. x = -0.4 + 1.75y Simplifying x = -0.4 + 1.75y
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