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Simplifying 2x + 5(-2x + 6) = -42 Reorder the terms: 2x + 5(6 + -2x) = -42 2x + (6 * 5 + -2x * 5) = -42 2x + (30 + -10x) = -42 Reorder the terms: 30 + 2x + -10x = -42 Combine like terms: 2x + -10x = -8x 30 + -8x = -42 Solving 30 + -8x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -8x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -42 + -30 -8x = -42 + -30 Combine like terms: -42 + -30 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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