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Simplifying 3x + 4(1 + x) + 2 = 5x + -1x + -6 3x + (1 * 4 + x * 4) + 2 = 5x + -1x + -6 3x + (4 + 4x) + 2 = 5x + -1x + -6 Reorder the terms: 4 + 2 + 3x + 4x = 5x + -1x + -6 Combine like terms: 4 + 2 = 6 6 + 3x + 4x = 5x + -1x + -6 Combine like terms: 3x + 4x = 7x 6 + 7x = 5x + -1x + -6 Reorder the terms: 6 + 7x = -6 + 5x + -1x Combine like terms: 5x + -1x = 4x 6 + 7x = -6 + 4x Solving 6 + 7x = -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. 6 + 7x + -4x = -6 + 4x + -4x Combine like terms: 7x + -4x = 3x 6 + 3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3x = -6 + 0 6 + 3x = -6 Add '-6' to each side of the equation. 6 + -6 + 3x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -6 + -6 3x = -6 + -6 Combine like terms: -6 + -6 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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