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Simplifying -7(x + -6) + 8x = 12 + 14 Reorder the terms: -7(-6 + x) + 8x = 12 + 14 (-6 * -7 + x * -7) + 8x = 12 + 14 (42 + -7x) + 8x = 12 + 14 Combine like terms: -7x + 8x = 1x 42 + 1x = 12 + 14 Combine like terms: 12 + 14 = 26 42 + 1x = 26 Solving 42 + 1x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1x = 26 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 26 + -42 1x = 26 + -42 Combine like terms: 26 + -42 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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