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Simplifying 3x + -5(-4y + 10) = 13 Reorder the terms: 3x + -5(10 + -4y) = 13 3x + (10 * -5 + -4y * -5) = 13 3x + (-50 + 20y) = 13 Reorder the terms: -50 + 3x + 20y = 13 Solving -50 + 3x + 20y = 13 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 = 13 + 50 Reorder the terms: -50 + 50 + 3x + 20y = 13 + 50 Combine like terms: -50 + 50 = 0 0 + 3x + 20y = 13 + 50 3x + 20y = 13 + 50 Combine like terms: 13 + 50 = 63 3x + 20y = 63 Add '-20y' to each side of the equation. 3x + 20y + -20y = 63 + -20y Combine like terms: 20y + -20y = 0 3x + 0 = 63 + -20y 3x = 63 + -20y Divide each side by '3'. x = 21 + -6.666666667y Simplifying x = 21 + -6.666666667y
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