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Simplifying 6(-3x + 1) = 17(x + 1) Reorder the terms: 6(1 + -3x) = 17(x + 1) (1 * 6 + -3x * 6) = 17(x + 1) (6 + -18x) = 17(x + 1) Reorder the terms: 6 + -18x = 17(1 + x) 6 + -18x = (1 * 17 + x * 17) 6 + -18x = (17 + 17x) Solving 6 + -18x = 17 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 6 + -18x + -17x = 17 + 17x + -17x Combine like terms: -18x + -17x = -35x 6 + -35x = 17 + 17x + -17x Combine like terms: 17x + -17x = 0 6 + -35x = 17 + 0 6 + -35x = 17 Add '-6' to each side of the equation. 6 + -6 + -35x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + -35x = 17 + -6 -35x = 17 + -6 Combine like terms: 17 + -6 = 11 -35x = 11 Divide each side by '-35'. x = -0.3142857143 Simplifying x = -0.3142857143
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