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Simplifying -5(x + 1) + -13 = 10 + 2 Reorder the terms: -5(1 + x) + -13 = 10 + 2 (1 * -5 + x * -5) + -13 = 10 + 2 (-5 + -5x) + -13 = 10 + 2 Reorder the terms: -5 + -13 + -5x = 10 + 2 Combine like terms: -5 + -13 = -18 -18 + -5x = 10 + 2 Combine like terms: 10 + 2 = 12 -18 + -5x = 12 Solving -18 + -5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 12 + 18 -5x = 12 + 18 Combine like terms: 12 + 18 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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