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Simplifying 13(x + -1y) + -20(2x + -3y) + 520 = 0 (x * 13 + -1y * 13) + -20(2x + -3y) + 520 = 0 (13x + -13y) + -20(2x + -3y) + 520 = 0 13x + -13y + (2x * -20 + -3y * -20) + 520 = 0 13x + -13y + (-40x + 60y) + 520 = 0 Reorder the terms: 520 + 13x + -40x + -13y + 60y = 0 Combine like terms: 13x + -40x = -27x 520 + -27x + -13y + 60y = 0 Combine like terms: -13y + 60y = 47y 520 + -27x + 47y = 0 Solving 520 + -27x + 47y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-520' to each side of the equation. 520 + -27x + -520 + 47y = 0 + -520 Reorder the terms: 520 + -520 + -27x + 47y = 0 + -520 Combine like terms: 520 + -520 = 0 0 + -27x + 47y = 0 + -520 -27x + 47y = 0 + -520 Combine like terms: 0 + -520 = -520 -27x + 47y = -520 Add '-47y' to each side of the equation. -27x + 47y + -47y = -520 + -47y Combine like terms: 47y + -47y = 0 -27x + 0 = -520 + -47y -27x = -520 + -47y Divide each side by '-27'. x = 19.25925926 + 1.740740741y Simplifying x = 19.25925926 + 1.740740741y
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