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Simplifying 3x + -4 + 5x + 1 = 12 + 4x + -1x Reorder the terms: -4 + 1 + 3x + 5x = 12 + 4x + -1x Combine like terms: -4 + 1 = -3 -3 + 3x + 5x = 12 + 4x + -1x Combine like terms: 3x + 5x = 8x -3 + 8x = 12 + 4x + -1x Combine like terms: 4x + -1x = 3x -3 + 8x = 12 + 3x Solving -3 + 8x = 12 + 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. -3 + 8x + -3x = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x -3 + 5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 5x = 12 + 0 -3 + 5x = 12 Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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