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