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Simplifying 2 + -1(17x + 52) = 13 + -3x Reorder the terms: 2 + -1(52 + 17x) = 13 + -3x 2 + (52 * -1 + 17x * -1) = 13 + -3x 2 + (-52 + -17x) = 13 + -3x Combine like terms: 2 + -52 = -50 -50 + -17x = 13 + -3x Solving -50 + -17x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -50 + -17x + 3x = 13 + -3x + 3x Combine like terms: -17x + 3x = -14x -50 + -14x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -50 + -14x = 13 + 0 -50 + -14x = 13 Add '50' to each side of the equation. -50 + 50 + -14x = 13 + 50 Combine like terms: -50 + 50 = 0 0 + -14x = 13 + 50 -14x = 13 + 50 Combine like terms: 13 + 50 = 63 -14x = 63 Divide each side by '-14'. x = -4.5 Simplifying x = -4.5
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