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Simplifying 2(x + 3) = 5(x + -1) + 6 Reorder the terms: 2(3 + x) = 5(x + -1) + 6 (3 * 2 + x * 2) = 5(x + -1) + 6 (6 + 2x) = 5(x + -1) + 6 Reorder the terms: 6 + 2x = 5(-1 + x) + 6 6 + 2x = (-1 * 5 + x * 5) + 6 6 + 2x = (-5 + 5x) + 6 Reorder the terms: 6 + 2x = -5 + 6 + 5x Combine like terms: -5 + 6 = 1 6 + 2x = 1 + 5x Solving 6 + 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = 1 + 0 6 + -3x = 1 Add '-6' to each side of the equation. 6 + -6 + -3x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 1 + -6 -3x = 1 + -6 Combine like terms: 1 + -6 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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