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Simplifying 6(1 + -3x) + 17 = 5x (1 * 6 + -3x * 6) + 17 = 5x (6 + -18x) + 17 = 5x Reorder the terms: 6 + 17 + -18x = 5x Combine like terms: 6 + 17 = 23 23 + -18x = 5x Solving 23 + -18x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + -18x + -5x = 5x + -5x Combine like terms: -18x + -5x = -23x 23 + -23x = 5x + -5x Combine like terms: 5x + -5x = 0 23 + -23x = 0 Add '-23' to each side of the equation. 23 + -23 + -23x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -23x = 0 + -23 -23x = 0 + -23 Combine like terms: 0 + -23 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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