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Simplifying 5(3x + -2) + (x + 7) = 55 Reorder the terms: 5(-2 + 3x) + (x + 7) = 55 (-2 * 5 + 3x * 5) + (x + 7) = 55 (-10 + 15x) + (x + 7) = 55 Reorder the terms: -10 + 15x + (7 + x) = 55 Remove parenthesis around (7 + x) -10 + 15x + 7 + x = 55 Reorder the terms: -10 + 7 + 15x + x = 55 Combine like terms: -10 + 7 = -3 -3 + 15x + x = 55 Combine like terms: 15x + x = 16x -3 + 16x = 55 Solving -3 + 16x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 16x = 55 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 55 + 3 16x = 55 + 3 Combine like terms: 55 + 3 = 58 16x = 58 Divide each side by '16'. x = 3.625 Simplifying x = 3.625
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