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Simplifying -42 = -6x + -4(-2x + 6) Reorder the terms: -42 = -6x + -4(6 + -2x) -42 = -6x + (6 * -4 + -2x * -4) -42 = -6x + (-24 + 8x) Reorder the terms: -42 = -24 + -6x + 8x Combine like terms: -6x + 8x = 2x -42 = -24 + 2x Solving -42 = -24 + 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 + -2x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -2x = -24 + 0 -42 + -2x = -24 Add '42' to each side of the equation. -42 + 42 + -2x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = -24 + 42 -2x = -24 + 42 Combine like terms: -24 + 42 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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