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Simplifying -6x + -42 = 2(x + 7) Reorder the terms: -42 + -6x = 2(x + 7) Reorder the terms: -42 + -6x = 2(7 + x) -42 + -6x = (7 * 2 + x * 2) -42 + -6x = (14 + 2x) Solving -42 + -6x = 14 + 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 + -6x + -2x = 14 + 2x + -2x Combine like terms: -6x + -2x = -8x -42 + -8x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -8x = 14 + 0 -42 + -8x = 14 Add '42' to each side of the equation. -42 + 42 + -8x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = 14 + 42 -8x = 14 + 42 Combine like terms: 14 + 42 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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