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Simplifying 6x + -23 = 17 + -6(5 + -2x) Reorder the terms: -23 + 6x = 17 + -6(5 + -2x) -23 + 6x = 17 + (5 * -6 + -2x * -6) -23 + 6x = 17 + (-30 + 12x) Combine like terms: 17 + -30 = -13 -23 + 6x = -13 + 12x Solving -23 + 6x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 6x + -12x = -13 + 12x + -12x Combine like terms: 6x + -12x = -6x -23 + -6x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -6x = -13 + 0 -23 + -6x = -13 Add '23' to each side of the equation. -23 + 23 + -6x = -13 + 23 Combine like terms: -23 + 23 = 0 0 + -6x = -13 + 23 -6x = -13 + 23 Combine like terms: -13 + 23 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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