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Simplifying 4(x + 1) + 2x = 3x + 1 Reorder the terms: 4(1 + x) + 2x = 3x + 1 (1 * 4 + x * 4) + 2x = 3x + 1 (4 + 4x) + 2x = 3x + 1 Combine like terms: 4x + 2x = 6x 4 + 6x = 3x + 1 Reorder the terms: 4 + 6x = 1 + 3x Solving 4 + 6x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 6x + -3x = 1 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = 1 + 0 4 + 3x = 1 Add '-4' to each side of the equation. 4 + -4 + 3x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 1 + -4 3x = 1 + -4 Combine like terms: 1 + -4 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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