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Simplifying -9 = 1 + 5(x + -6) Reorder the terms: -9 = 1 + 5(-6 + x) -9 = 1 + (-6 * 5 + x * 5) -9 = 1 + (-30 + 5x) Combine like terms: 1 + -30 = -29 -9 = -29 + 5x Solving -9 = -29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -5x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -5x = -29 + 0 -9 + -5x = -29 Add '9' to each side of the equation. -9 + 9 + -5x = -29 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -29 + 9 -5x = -29 + 9 Combine like terms: -29 + 9 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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