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Simplifying -42 = -2 + -4(2 + 2x) -42 = -2 + (2 * -4 + 2x * -4) -42 = -2 + (-8 + -8x) Combine like terms: -2 + -8 = -10 -42 = -10 + -8x Solving -42 = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -42 + 8x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 8x = -10 + 0 -42 + 8x = -10 Add '42' to each side of the equation. -42 + 42 + 8x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = -10 + 42 8x = -10 + 42 Combine like terms: -10 + 42 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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