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Simplifying 3x + 4(-1x + -8) = -42 Reorder the terms: 3x + 4(-8 + -1x) = -42 3x + (-8 * 4 + -1x * 4) = -42 3x + (-32 + -4x) = -42 Reorder the terms: -32 + 3x + -4x = -42 Combine like terms: 3x + -4x = -1x -32 + -1x = -42 Solving -32 + -1x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = -42 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -42 + 32 -1x = -42 + 32 Combine like terms: -42 + 32 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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