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