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Simplifying 8x + 42 = -2(x + -6) Reorder the terms: 42 + 8x = -2(x + -6) Reorder the terms: 42 + 8x = -2(-6 + x) 42 + 8x = (-6 * -2 + x * -2) 42 + 8x = (12 + -2x) Solving 42 + 8x = 12 + -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 + 8x + 2x = 12 + -2x + 2x Combine like terms: 8x + 2x = 10x 42 + 10x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 10x = 12 + 0 42 + 10x = 12 Add '-42' to each side of the equation. 42 + -42 + 10x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 12 + -42 10x = 12 + -42 Combine like terms: 12 + -42 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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