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Simplifying -6x + 23 = -2 + -7(2x + 1) Reorder the terms: 23 + -6x = -2 + -7(2x + 1) Reorder the terms: 23 + -6x = -2 + -7(1 + 2x) 23 + -6x = -2 + (1 * -7 + 2x * -7) 23 + -6x = -2 + (-7 + -14x) Combine like terms: -2 + -7 = -9 23 + -6x = -9 + -14x Solving 23 + -6x = -9 + -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 + -6x + 14x = -9 + -14x + 14x Combine like terms: -6x + 14x = 8x 23 + 8x = -9 + -14x + 14x Combine like terms: -14x + 14x = 0 23 + 8x = -9 + 0 23 + 8x = -9 Add '-23' to each side of the equation. 23 + -23 + 8x = -9 + -23 Combine like terms: 23 + -23 = 0 0 + 8x = -9 + -23 8x = -9 + -23 Combine like terms: -9 + -23 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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