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Simplifying 3x + 5(-10 + 4y) = 21 3x + (-10 * 5 + 4y * 5) = 21 3x + (-50 + 20y) = 21 Reorder the terms: -50 + 3x + 20y = 21 Solving -50 + 3x + 20y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 3x + 50 + 20y = 21 + 50 Reorder the terms: -50 + 50 + 3x + 20y = 21 + 50 Combine like terms: -50 + 50 = 0 0 + 3x + 20y = 21 + 50 3x + 20y = 21 + 50 Combine like terms: 21 + 50 = 71 3x + 20y = 71 Add '-20y' to each side of the equation. 3x + 20y + -20y = 71 + -20y Combine like terms: 20y + -20y = 0 3x + 0 = 71 + -20y 3x = 71 + -20y Divide each side by '3'. x = 23.66666667 + -6.666666667y Simplifying x = 23.66666667 + -6.666666667y
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