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Simplifying 2(4x + 1) + -3 = -4x + 23 Reorder the terms: 2(1 + 4x) + -3 = -4x + 23 (1 * 2 + 4x * 2) + -3 = -4x + 23 (2 + 8x) + -3 = -4x + 23 Reorder the terms: 2 + -3 + 8x = -4x + 23 Combine like terms: 2 + -3 = -1 -1 + 8x = -4x + 23 Reorder the terms: -1 + 8x = 23 + -4x Solving -1 + 8x = 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. -1 + 8x + 4x = 23 + -4x + 4x Combine like terms: 8x + 4x = 12x -1 + 12x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 12x = 23 + 0 -1 + 12x = 23 Add '1' to each side of the equation. -1 + 1 + 12x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 23 + 1 12x = 23 + 1 Combine like terms: 23 + 1 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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