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Simplifying 30(0.5x + -2) + 40(0.75y + -4) = 0 Reorder the terms: 30(-2 + 0.5x) + 40(0.75y + -4) = 0 (-2 * 30 + 0.5x * 30) + 40(0.75y + -4) = 0 (-60 + 15x) + 40(0.75y + -4) = 0 Reorder the terms: -60 + 15x + 40(-4 + 0.75y) = 0 -60 + 15x + (-4 * 40 + 0.75y * 40) = 0 -60 + 15x + (-160 + 30y) = 0 Reorder the terms: -60 + -160 + 15x + 30y = 0 Combine like terms: -60 + -160 = -220 -220 + 15x + 30y = 0 Solving -220 + 15x + 30y = 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 + 15x + 220 + 30y = 0 + 220 Reorder the terms: -220 + 220 + 15x + 30y = 0 + 220 Combine like terms: -220 + 220 = 0 0 + 15x + 30y = 0 + 220 15x + 30y = 0 + 220 Combine like terms: 0 + 220 = 220 15x + 30y = 220 Add '-30y' to each side of the equation. 15x + 30y + -30y = 220 + -30y Combine like terms: 30y + -30y = 0 15x + 0 = 220 + -30y 15x = 220 + -30y Divide each side by '15'. x = 14.66666667 + -2y Simplifying x = 14.66666667 + -2y
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