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Simplifying 5(4x + -7) + 2 = 3y + 6 Reorder the terms: 5(-7 + 4x) + 2 = 3y + 6 (-7 * 5 + 4x * 5) + 2 = 3y + 6 (-35 + 20x) + 2 = 3y + 6 Reorder the terms: -35 + 2 + 20x = 3y + 6 Combine like terms: -35 + 2 = -33 -33 + 20x = 3y + 6 Reorder the terms: -33 + 20x = 6 + 3y Solving -33 + 20x = 6 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 20x = 6 + 33 + 3y Combine like terms: -33 + 33 = 0 0 + 20x = 6 + 33 + 3y 20x = 6 + 33 + 3y Combine like terms: 6 + 33 = 39 20x = 39 + 3y Divide each side by '20'. x = 1.95 + 0.15y Simplifying x = 1.95 + 0.15y
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