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Simplifying 30(1.2x + -2) + 40(3.4y + -4) = 0 Reorder the terms: 30(-2 + 1.2x) + 40(3.4y + -4) = 0 (-2 * 30 + 1.2x * 30) + 40(3.4y + -4) = 0 (-60 + 36x) + 40(3.4y + -4) = 0 Reorder the terms: -60 + 36x + 40(-4 + 3.4y) = 0 -60 + 36x + (-4 * 40 + 3.4y * 40) = 0 -60 + 36x + (-160 + 136y) = 0 Reorder the terms: -60 + -160 + 36x + 136y = 0 Combine like terms: -60 + -160 = -220 -220 + 36x + 136y = 0 Solving -220 + 36x + 136y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '220' to each side of the equation. -220 + 36x + 220 + 136y = 0 + 220 Reorder the terms: -220 + 220 + 36x + 136y = 0 + 220 Combine like terms: -220 + 220 = 0 0 + 36x + 136y = 0 + 220 36x + 136y = 0 + 220 Combine like terms: 0 + 220 = 220 36x + 136y = 220 Add '-136y' to each side of the equation. 36x + 136y + -136y = 220 + -136y Combine like terms: 136y + -136y = 0 36x + 0 = 220 + -136y 36x = 220 + -136y Divide each side by '36'. x = 6.111111111 + -3.777777778y Simplifying x = 6.111111111 + -3.777777778y
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