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