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Simplifying -42 + -2x = 6x + 21 Reorder the terms: -42 + -2x = 21 + 6x Solving -42 + -2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -42 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + -8x = 21 + 0 -42 + -8x = 21 Add '42' to each side of the equation. -42 + 42 + -8x = 21 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = 21 + 42 -8x = 21 + 42 Combine like terms: 21 + 42 = 63 -8x = 63 Divide each side by '-8'. x = -7.875 Simplifying x = -7.875
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