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Simplifying 2x + 3(5x + -7) = 47 Reorder the terms: 2x + 3(-7 + 5x) = 47 2x + (-7 * 3 + 5x * 3) = 47 2x + (-21 + 15x) = 47 Reorder the terms: -21 + 2x + 15x = 47 Combine like terms: 2x + 15x = 17x -21 + 17x = 47 Solving -21 + 17x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 17x = 47 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = 47 + 21 17x = 47 + 21 Combine like terms: 47 + 21 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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