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Simplifying 3x + 4 + -2x + -1 = 5(1 + -1x) + 2 Reorder the terms: 4 + -1 + 3x + -2x = 5(1 + -1x) + 2 Combine like terms: 4 + -1 = 3 3 + 3x + -2x = 5(1 + -1x) + 2 Combine like terms: 3x + -2x = 1x 3 + 1x = 5(1 + -1x) + 2 3 + 1x = (1 * 5 + -1x * 5) + 2 3 + 1x = (5 + -5x) + 2 Reorder the terms: 3 + 1x = 5 + 2 + -5x Combine like terms: 5 + 2 = 7 3 + 1x = 7 + -5x Solving 3 + 1x = 7 + -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. 3 + 1x + 5x = 7 + -5x + 5x Combine like terms: 1x + 5x = 6x 3 + 6x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 6x = 7 + 0 3 + 6x = 7 Add '-3' to each side of the equation. 3 + -3 + 6x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 7 + -3 6x = 7 + -3 Combine like terms: 7 + -3 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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