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Simplifying -5(x + 6) + 262 = 10 + 12 Reorder the terms: -5(6 + x) + 262 = 10 + 12 (6 * -5 + x * -5) + 262 = 10 + 12 (-30 + -5x) + 262 = 10 + 12 Reorder the terms: -30 + 262 + -5x = 10 + 12 Combine like terms: -30 + 262 = 232 232 + -5x = 10 + 12 Combine like terms: 10 + 12 = 22 232 + -5x = 22 Solving 232 + -5x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-232' to each side of the equation. 232 + -232 + -5x = 22 + -232 Combine like terms: 232 + -232 = 0 0 + -5x = 22 + -232 -5x = 22 + -232 Combine like terms: 22 + -232 = -210 -5x = -210 Divide each side by '-5'. x = 42 Simplifying x = 42
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