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Simplifying x + 4x + 5x + 2 = x + 3x + 1 Reorder the terms: 2 + x + 4x + 5x = x + 3x + 1 Combine like terms: x + 4x = 5x 2 + 5x + 5x = x + 3x + 1 Combine like terms: 5x + 5x = 10x 2 + 10x = x + 3x + 1 Reorder the terms: 2 + 10x = 1 + x + 3x Combine like terms: x + 3x = 4x 2 + 10x = 1 + 4x Solving 2 + 10x = 1 + 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. 2 + 10x + -4x = 1 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x = 1 + 0 2 + 6x = 1 Add '-2' to each side of the equation. 2 + -2 + 6x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 1 + -2 6x = 1 + -2 Combine like terms: 1 + -2 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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