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Simplifying 23 + 8x = 7(x + -1) + -5x Reorder the terms: 23 + 8x = 7(-1 + x) + -5x 23 + 8x = (-1 * 7 + x * 7) + -5x 23 + 8x = (-7 + 7x) + -5x Combine like terms: 7x + -5x = 2x 23 + 8x = -7 + 2x Solving 23 + 8x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 8x + -2x = -7 + 2x + -2x Combine like terms: 8x + -2x = 6x 23 + 6x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 6x = -7 + 0 23 + 6x = -7 Add '-23' to each side of the equation. 23 + -23 + 6x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = -7 + -23 6x = -7 + -23 Combine like terms: -7 + -23 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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