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Simplifying 3x + 5 = 4(1 + -1x) + 2 Reorder the terms: 5 + 3x = 4(1 + -1x) + 2 5 + 3x = (1 * 4 + -1x * 4) + 2 5 + 3x = (4 + -4x) + 2 Reorder the terms: 5 + 3x = 4 + 2 + -4x Combine like terms: 4 + 2 = 6 5 + 3x = 6 + -4x Solving 5 + 3x = 6 + -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. 5 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x = 6 + 0 5 + 7x = 6 Add '-5' to each side of the equation. 5 + -5 + 7x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 6 + -5 7x = 6 + -5 Combine like terms: 6 + -5 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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