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Simplifying -6(1 + 4x) + 2(7 + x) = 8 (1 * -6 + 4x * -6) + 2(7 + x) = 8 (-6 + -24x) + 2(7 + x) = 8 -6 + -24x + (7 * 2 + x * 2) = 8 -6 + -24x + (14 + 2x) = 8 Reorder the terms: -6 + 14 + -24x + 2x = 8 Combine like terms: -6 + 14 = 8 8 + -24x + 2x = 8 Combine like terms: -24x + 2x = -22x 8 + -22x = 8 Add '-8' to each side of the equation. 8 + -8 + -22x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -22x = 8 + -8 -22x = 8 + -8 Combine like terms: 8 + -8 = 0 -22x = 0 Solving -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-22'. x = 0 Simplifying x = 0
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