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Simplifying 6(17x + 10) + 20x + 5 = -2(2x + 13) + -11x + -1 Reorder the terms: 6(10 + 17x) + 20x + 5 = -2(2x + 13) + -11x + -1 (10 * 6 + 17x * 6) + 20x + 5 = -2(2x + 13) + -11x + -1 (60 + 102x) + 20x + 5 = -2(2x + 13) + -11x + -1 Reorder the terms: 60 + 5 + 102x + 20x = -2(2x + 13) + -11x + -1 Combine like terms: 60 + 5 = 65 65 + 102x + 20x = -2(2x + 13) + -11x + -1 Combine like terms: 102x + 20x = 122x 65 + 122x = -2(2x + 13) + -11x + -1 Reorder the terms: 65 + 122x = -2(13 + 2x) + -11x + -1 65 + 122x = (13 * -2 + 2x * -2) + -11x + -1 65 + 122x = (-26 + -4x) + -11x + -1 Reorder the terms: 65 + 122x = -26 + -1 + -4x + -11x Combine like terms: -26 + -1 = -27 65 + 122x = -27 + -4x + -11x Combine like terms: -4x + -11x = -15x 65 + 122x = -27 + -15x Solving 65 + 122x = -27 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 65 + 122x + 15x = -27 + -15x + 15x Combine like terms: 122x + 15x = 137x 65 + 137x = -27 + -15x + 15x Combine like terms: -15x + 15x = 0 65 + 137x = -27 + 0 65 + 137x = -27 Add '-65' to each side of the equation. 65 + -65 + 137x = -27 + -65 Combine like terms: 65 + -65 = 0 0 + 137x = -27 + -65 137x = -27 + -65 Combine like terms: -27 + -65 = -92 137x = -92 Divide each side by '137'. x = -0.6715328467 Simplifying x = -0.6715328467
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