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Simplifying 2(x + 7) + -5(2x + -6) = 92 Reorder the terms: 2(7 + x) + -5(2x + -6) = 92 (7 * 2 + x * 2) + -5(2x + -6) = 92 (14 + 2x) + -5(2x + -6) = 92 Reorder the terms: 14 + 2x + -5(-6 + 2x) = 92 14 + 2x + (-6 * -5 + 2x * -5) = 92 14 + 2x + (30 + -10x) = 92 Reorder the terms: 14 + 30 + 2x + -10x = 92 Combine like terms: 14 + 30 = 44 44 + 2x + -10x = 92 Combine like terms: 2x + -10x = -8x 44 + -8x = 92 Solving 44 + -8x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -8x = 92 + -44 Combine like terms: 44 + -44 = 0 0 + -8x = 92 + -44 -8x = 92 + -44 Combine like terms: 92 + -44 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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