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Simplifying 4(3x + -1) + -6 = 5y + 10 Reorder the terms: 4(-1 + 3x) + -6 = 5y + 10 (-1 * 4 + 3x * 4) + -6 = 5y + 10 (-4 + 12x) + -6 = 5y + 10 Reorder the terms: -4 + -6 + 12x = 5y + 10 Combine like terms: -4 + -6 = -10 -10 + 12x = 5y + 10 Reorder the terms: -10 + 12x = 10 + 5y Solving -10 + 12x = 10 + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12x = 10 + 10 + 5y Combine like terms: -10 + 10 = 0 0 + 12x = 10 + 10 + 5y 12x = 10 + 10 + 5y Combine like terms: 10 + 10 = 20 12x = 20 + 5y Divide each side by '12'. x = 1.666666667 + 0.4166666667y Simplifying x = 1.666666667 + 0.4166666667y
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