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Simplifying -23 + -4x = 2 + 3(-8x + 5) Reorder the terms: -23 + -4x = 2 + 3(5 + -8x) -23 + -4x = 2 + (5 * 3 + -8x * 3) -23 + -4x = 2 + (15 + -24x) Combine like terms: 2 + 15 = 17 -23 + -4x = 17 + -24x Solving -23 + -4x = 17 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -23 + -4x + 24x = 17 + -24x + 24x Combine like terms: -4x + 24x = 20x -23 + 20x = 17 + -24x + 24x Combine like terms: -24x + 24x = 0 -23 + 20x = 17 + 0 -23 + 20x = 17 Add '23' to each side of the equation. -23 + 23 + 20x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 20x = 17 + 23 20x = 17 + 23 Combine like terms: 17 + 23 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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