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Simplifying 42 + -10x = -10 + -2(x + 10) Reorder the terms: 42 + -10x = -10 + -2(10 + x) 42 + -10x = -10 + (10 * -2 + x * -2) 42 + -10x = -10 + (-20 + -2x) Combine like terms: -10 + -20 = -30 42 + -10x = -30 + -2x Solving 42 + -10x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + -10x + 2x = -30 + -2x + 2x Combine like terms: -10x + 2x = -8x 42 + -8x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + -8x = -30 + 0 42 + -8x = -30 Add '-42' to each side of the equation. 42 + -42 + -8x = -30 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = -30 + -42 -8x = -30 + -42 Combine like terms: -30 + -42 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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