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Simplifying 3(4x + -3) + 5 = 2y + -10 Reorder the terms: 3(-3 + 4x) + 5 = 2y + -10 (-3 * 3 + 4x * 3) + 5 = 2y + -10 (-9 + 12x) + 5 = 2y + -10 Reorder the terms: -9 + 5 + 12x = 2y + -10 Combine like terms: -9 + 5 = -4 -4 + 12x = 2y + -10 Reorder the terms: -4 + 12x = -10 + 2y Solving -4 + 12x = -10 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12x = -10 + 4 + 2y Combine like terms: -4 + 4 = 0 0 + 12x = -10 + 4 + 2y 12x = -10 + 4 + 2y Combine like terms: -10 + 4 = -6 12x = -6 + 2y Divide each side by '12'. x = -0.5 + 0.1666666667y Simplifying x = -0.5 + 0.1666666667y
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