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Simplifying 2 + 6(x + 3) = 5 + -2(3x + 1) + 1 Reorder the terms: 2 + 6(3 + x) = 5 + -2(3x + 1) + 1 2 + (3 * 6 + x * 6) = 5 + -2(3x + 1) + 1 2 + (18 + 6x) = 5 + -2(3x + 1) + 1 Combine like terms: 2 + 18 = 20 20 + 6x = 5 + -2(3x + 1) + 1 Reorder the terms: 20 + 6x = 5 + -2(1 + 3x) + 1 20 + 6x = 5 + (1 * -2 + 3x * -2) + 1 20 + 6x = 5 + (-2 + -6x) + 1 Reorder the terms: 20 + 6x = 5 + -2 + 1 + -6x Combine like terms: 5 + -2 = 3 20 + 6x = 3 + 1 + -6x Combine like terms: 3 + 1 = 4 20 + 6x = 4 + -6x Solving 20 + 6x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + 6x + 6x = 4 + -6x + 6x Combine like terms: 6x + 6x = 12x 20 + 12x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 12x = 4 + 0 20 + 12x = 4 Add '-20' to each side of the equation. 20 + -20 + 12x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 4 + -20 12x = 4 + -20 Combine like terms: 4 + -20 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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