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Simplifying x + 2x + 3x = 5(1 + -1x) + 6 Combine like terms: x + 2x = 3x 3x + 3x = 5(1 + -1x) + 6 Combine like terms: 3x + 3x = 6x 6x = 5(1 + -1x) + 6 6x = (1 * 5 + -1x * 5) + 6 6x = (5 + -5x) + 6 Reorder the terms: 6x = 5 + 6 + -5x Combine like terms: 5 + 6 = 11 6x = 11 + -5x Solving 6x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6x + 5x = 11 + -5x + 5x Combine like terms: 6x + 5x = 11x 11x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 11x = 11 + 0 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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