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Simplifying 3(2x + -5) + x + (4x + 7) = 80 Reorder the terms: 3(-5 + 2x) + x + (4x + 7) = 80 (-5 * 3 + 2x * 3) + x + (4x + 7) = 80 (-15 + 6x) + x + (4x + 7) = 80 Reorder the terms: -15 + 6x + x + (7 + 4x) = 80 Remove parenthesis around (7 + 4x) -15 + 6x + x + 7 + 4x = 80 Reorder the terms: -15 + 7 + 6x + x + 4x = 80 Combine like terms: -15 + 7 = -8 -8 + 6x + x + 4x = 80 Combine like terms: 6x + x = 7x -8 + 7x + 4x = 80 Combine like terms: 7x + 4x = 11x -8 + 11x = 80 Solving -8 + 11x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 11x = 80 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 80 + 8 11x = 80 + 8 Combine like terms: 80 + 8 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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