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Simplifying -2x + 5 = -9(x + -6) Reorder the terms: 5 + -2x = -9(x + -6) Reorder the terms: 5 + -2x = -9(-6 + x) 5 + -2x = (-6 * -9 + x * -9) 5 + -2x = (54 + -9x) Solving 5 + -2x = 54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -2x + 9x = 54 + -9x + 9x Combine like terms: -2x + 9x = 7x 5 + 7x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 7x = 54 + 0 5 + 7x = 54 Add '-5' to each side of the equation. 5 + -5 + 7x = 54 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 54 + -5 7x = 54 + -5 Combine like terms: 54 + -5 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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