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Simplifying 0.25(16 + -8y) + 0.75(32x + -8) + y + -1(x + 10) = 0 (16 * 0.25 + -8y * 0.25) + 0.75(32x + -8) + y + -1(x + 10) = 0 (4 + -2y) + 0.75(32x + -8) + y + -1(x + 10) = 0 Reorder the terms: 4 + -2y + 0.75(-8 + 32x) + y + -1(x + 10) = 0 4 + -2y + (-8 * 0.75 + 32x * 0.75) + y + -1(x + 10) = 0 4 + -2y + (-6 + 24x) + y + -1(x + 10) = 0 Reorder the terms: 4 + -2y + -6 + 24x + y + -1(10 + x) = 0 4 + -2y + -6 + 24x + y + (10 * -1 + x * -1) = 0 4 + -2y + -6 + 24x + y + (-10 + -1x) = 0 Reorder the terms: 4 + -6 + -10 + 24x + -1x + -2y + y = 0 Combine like terms: 4 + -6 = -2 -2 + -10 + 24x + -1x + -2y + y = 0 Combine like terms: -2 + -10 = -12 -12 + 24x + -1x + -2y + y = 0 Combine like terms: 24x + -1x = 23x -12 + 23x + -2y + y = 0 Combine like terms: -2y + y = -1y -12 + 23x + -1y = 0 Solving -12 + 23x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 23x + 12 + -1y = 0 + 12 Reorder the terms: -12 + 12 + 23x + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 23x + -1y = 0 + 12 23x + -1y = 0 + 12 Combine like terms: 0 + 12 = 12 23x + -1y = 12 Add 'y' to each side of the equation. 23x + -1y + y = 12 + y Combine like terms: -1y + y = 0 23x + 0 = 12 + y 23x = 12 + y Divide each side by '23'. x = 0.5217391304 + 0.04347826087y Simplifying x = 0.5217391304 + 0.04347826087y
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