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Simplifying -3(x + -5) + 8x = 3x + 23 Reorder the terms: -3(-5 + x) + 8x = 3x + 23 (-5 * -3 + x * -3) + 8x = 3x + 23 (15 + -3x) + 8x = 3x + 23 Combine like terms: -3x + 8x = 5x 15 + 5x = 3x + 23 Reorder the terms: 15 + 5x = 23 + 3x Solving 15 + 5x = 23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = 23 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 23 + 0 15 + 2x = 23 Add '-15' to each side of the equation. 15 + -15 + 2x = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 23 + -15 2x = 23 + -15 Combine like terms: 23 + -15 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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