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Simplifying 8x + 23 = -5(7 + -7x) + 4 Reorder the terms: 23 + 8x = -5(7 + -7x) + 4 23 + 8x = (7 * -5 + -7x * -5) + 4 23 + 8x = (-35 + 35x) + 4 Reorder the terms: 23 + 8x = -35 + 4 + 35x Combine like terms: -35 + 4 = -31 23 + 8x = -31 + 35x Solving 23 + 8x = -31 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 23 + 8x + -35x = -31 + 35x + -35x Combine like terms: 8x + -35x = -27x 23 + -27x = -31 + 35x + -35x Combine like terms: 35x + -35x = 0 23 + -27x = -31 + 0 23 + -27x = -31 Add '-23' to each side of the equation. 23 + -23 + -27x = -31 + -23 Combine like terms: 23 + -23 = 0 0 + -27x = -31 + -23 -27x = -31 + -23 Combine like terms: -31 + -23 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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