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Simplifying -3x + 23 = 17 + -1(x + -6) Reorder the terms: 23 + -3x = 17 + -1(x + -6) Reorder the terms: 23 + -3x = 17 + -1(-6 + x) 23 + -3x = 17 + (-6 * -1 + x * -1) 23 + -3x = 17 + (6 + -1x) Combine like terms: 17 + 6 = 23 23 + -3x = 23 + -1x Add '-23' to each side of the equation. 23 + -23 + -3x = 23 + -23 + -1x Combine like terms: 23 + -23 = 0 0 + -3x = 23 + -23 + -1x -3x = 23 + -23 + -1x Combine like terms: 23 + -23 = 0 -3x = 0 + -1x -3x = -1x Solving -3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -1x + x Combine like terms: -3x + x = -2x -2x = -1x + x Combine like terms: -1x + x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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