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Simplifying 5x + -1(12x + 17) + -13x = 52 Reorder the terms: 5x + -1(17 + 12x) + -13x = 52 5x + (17 * -1 + 12x * -1) + -13x = 52 5x + (-17 + -12x) + -13x = 52 Reorder the terms: -17 + 5x + -12x + -13x = 52 Combine like terms: 5x + -12x = -7x -17 + -7x + -13x = 52 Combine like terms: -7x + -13x = -20x -17 + -20x = 52 Solving -17 + -20x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -20x = 52 + 17 Combine like terms: -17 + 17 = 0 0 + -20x = 52 + 17 -20x = 52 + 17 Combine like terms: 52 + 17 = 69 -20x = 69 Divide each side by '-20'. x = -3.45 Simplifying x = -3.45
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