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Simplifying 6(x + -2) = x + -42 Reorder the terms: 6(-2 + x) = x + -42 (-2 * 6 + x * 6) = x + -42 (-12 + 6x) = x + -42 Reorder the terms: -12 + 6x = -42 + x Solving -12 + 6x = -42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 6x + -1x = -42 + x + -1x Combine like terms: 6x + -1x = 5x -12 + 5x = -42 + x + -1x Combine like terms: x + -1x = 0 -12 + 5x = -42 + 0 -12 + 5x = -42 Add '12' to each side of the equation. -12 + 12 + 5x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -42 + 12 5x = -42 + 12 Combine like terms: -42 + 12 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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