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Simplifying -23 + 8x = -5(3x + 1) + 5 Reorder the terms: -23 + 8x = -5(1 + 3x) + 5 -23 + 8x = (1 * -5 + 3x * -5) + 5 -23 + 8x = (-5 + -15x) + 5 Reorder the terms: -23 + 8x = -5 + 5 + -15x Combine like terms: -5 + 5 = 0 -23 + 8x = 0 + -15x -23 + 8x = -15x Solving -23 + 8x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -23 + 8x + 15x = -15x + 15x Combine like terms: 8x + 15x = 23x -23 + 23x = -15x + 15x Combine like terms: -15x + 15x = 0 -23 + 23x = 0 Add '23' to each side of the equation. -23 + 23 + 23x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 23x = 0 + 23 23x = 0 + 23 Combine like terms: 0 + 23 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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