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Simplifying 2(4x + -1) + -5 = 3x + 8 Reorder the terms: 2(-1 + 4x) + -5 = 3x + 8 (-1 * 2 + 4x * 2) + -5 = 3x + 8 (-2 + 8x) + -5 = 3x + 8 Reorder the terms: -2 + -5 + 8x = 3x + 8 Combine like terms: -2 + -5 = -7 -7 + 8x = 3x + 8 Reorder the terms: -7 + 8x = 8 + 3x Solving -7 + 8x = 8 + 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. -7 + 8x + -3x = 8 + 3x + -3x Combine like terms: 8x + -3x = 5x -7 + 5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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