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Simplifying -2(9x + -5) = -42 + -5x Reorder the terms: -2(-5 + 9x) = -42 + -5x (-5 * -2 + 9x * -2) = -42 + -5x (10 + -18x) = -42 + -5x Solving 10 + -18x = -42 + -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. 10 + -18x + 5x = -42 + -5x + 5x Combine like terms: -18x + 5x = -13x 10 + -13x = -42 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + -13x = -42 + 0 10 + -13x = -42 Add '-10' to each side of the equation. 10 + -10 + -13x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = -42 + -10 -13x = -42 + -10 Combine like terms: -42 + -10 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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