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Simplifying 2(x + 1) + 4(x + -5) = -42 Reorder the terms: 2(1 + x) + 4(x + -5) = -42 (1 * 2 + x * 2) + 4(x + -5) = -42 (2 + 2x) + 4(x + -5) = -42 Reorder the terms: 2 + 2x + 4(-5 + x) = -42 2 + 2x + (-5 * 4 + x * 4) = -42 2 + 2x + (-20 + 4x) = -42 Reorder the terms: 2 + -20 + 2x + 4x = -42 Combine like terms: 2 + -20 = -18 -18 + 2x + 4x = -42 Combine like terms: 2x + 4x = 6x -18 + 6x = -42 Solving -18 + 6x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = -42 + 18 6x = -42 + 18 Combine like terms: -42 + 18 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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