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Simplifying 2(x + 78y) + 4(48x + -6y) = 0 (x * 2 + 78y * 2) + 4(48x + -6y) = 0 (2x + 156y) + 4(48x + -6y) = 0 2x + 156y + (48x * 4 + -6y * 4) = 0 2x + 156y + (192x + -24y) = 0 Reorder the terms: 2x + 192x + 156y + -24y = 0 Combine like terms: 2x + 192x = 194x 194x + 156y + -24y = 0 Combine like terms: 156y + -24y = 132y 194x + 132y = 0 Solving 194x + 132y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-132y' to each side of the equation. 194x + 132y + -132y = 0 + -132y Combine like terms: 132y + -132y = 0 194x + 0 = 0 + -132y 194x = 0 + -132y Remove the zero: 194x = -132y Divide each side by '194'. x = -0.6804123711y Simplifying x = -0.6804123711y
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