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Simplifying -1x + 23 = -7(6 + 2x) Reorder the terms: 23 + -1x = -7(6 + 2x) 23 + -1x = (6 * -7 + 2x * -7) 23 + -1x = (-42 + -14x) Solving 23 + -1x = -42 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 23 + -1x + 14x = -42 + -14x + 14x Combine like terms: -1x + 14x = 13x 23 + 13x = -42 + -14x + 14x Combine like terms: -14x + 14x = 0 23 + 13x = -42 + 0 23 + 13x = -42 Add '-23' to each side of the equation. 23 + -23 + 13x = -42 + -23 Combine like terms: 23 + -23 = 0 0 + 13x = -42 + -23 13x = -42 + -23 Combine like terms: -42 + -23 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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