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Simplifying 3(4x + -3) + -8 = 4x + 23 Reorder the terms: 3(-3 + 4x) + -8 = 4x + 23 (-3 * 3 + 4x * 3) + -8 = 4x + 23 (-9 + 12x) + -8 = 4x + 23 Reorder the terms: -9 + -8 + 12x = 4x + 23 Combine like terms: -9 + -8 = -17 -17 + 12x = 4x + 23 Reorder the terms: -17 + 12x = 23 + 4x Solving -17 + 12x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 12x + -4x = 23 + 4x + -4x Combine like terms: 12x + -4x = 8x -17 + 8x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 8x = 23 + 0 -17 + 8x = 23 Add '17' to each side of the equation. -17 + 17 + 8x = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 23 + 17 8x = 23 + 17 Combine like terms: 23 + 17 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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