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Simplifying -6x + 6(4x + 14) = -42 Reorder the terms: -6x + 6(14 + 4x) = -42 -6x + (14 * 6 + 4x * 6) = -42 -6x + (84 + 24x) = -42 Reorder the terms: 84 + -6x + 24x = -42 Combine like terms: -6x + 24x = 18x 84 + 18x = -42 Solving 84 + 18x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 18x = -42 + -84 Combine like terms: 84 + -84 = 0 0 + 18x = -42 + -84 18x = -42 + -84 Combine like terms: -42 + -84 = -126 18x = -126 Divide each side by '18'. x = -7 Simplifying x = -7
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