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Simplifying 5(x + -1) + 2(x + 3) = -6 Reorder the terms: 5(-1 + x) + 2(x + 3) = -6 (-1 * 5 + x * 5) + 2(x + 3) = -6 (-5 + 5x) + 2(x + 3) = -6 Reorder the terms: -5 + 5x + 2(3 + x) = -6 -5 + 5x + (3 * 2 + x * 2) = -6 -5 + 5x + (6 + 2x) = -6 Reorder the terms: -5 + 6 + 5x + 2x = -6 Combine like terms: -5 + 6 = 1 1 + 5x + 2x = -6 Combine like terms: 5x + 2x = 7x 1 + 7x = -6 Solving 1 + 7x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -6 + -1 7x = -6 + -1 Combine like terms: -6 + -1 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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