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Simplifying -2(-13x + -4) + 9(3x + -7) + -6 = 2 + -7 Reorder the terms: -2(-4 + -13x) + 9(3x + -7) + -6 = 2 + -7 (-4 * -2 + -13x * -2) + 9(3x + -7) + -6 = 2 + -7 (8 + 26x) + 9(3x + -7) + -6 = 2 + -7 Reorder the terms: 8 + 26x + 9(-7 + 3x) + -6 = 2 + -7 8 + 26x + (-7 * 9 + 3x * 9) + -6 = 2 + -7 8 + 26x + (-63 + 27x) + -6 = 2 + -7 Reorder the terms: 8 + -63 + -6 + 26x + 27x = 2 + -7 Combine like terms: 8 + -63 = -55 -55 + -6 + 26x + 27x = 2 + -7 Combine like terms: -55 + -6 = -61 -61 + 26x + 27x = 2 + -7 Combine like terms: 26x + 27x = 53x -61 + 53x = 2 + -7 Combine like terms: 2 + -7 = -5 -61 + 53x = -5 Solving -61 + 53x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 53x = -5 + 61 Combine like terms: -61 + 61 = 0 0 + 53x = -5 + 61 53x = -5 + 61 Combine like terms: -5 + 61 = 56 53x = 56 Divide each side by '53'. x = 1.056603774 Simplifying x = 1.056603774
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