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Simplifying 9(x + 5) = 27(6x + -10) Reorder the terms: 9(5 + x) = 27(6x + -10) (5 * 9 + x * 9) = 27(6x + -10) (45 + 9x) = 27(6x + -10) Reorder the terms: 45 + 9x = 27(-10 + 6x) 45 + 9x = (-10 * 27 + 6x * 27) 45 + 9x = (-270 + 162x) Solving 45 + 9x = -270 + 162x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162x' to each side of the equation. 45 + 9x + -162x = -270 + 162x + -162x Combine like terms: 9x + -162x = -153x 45 + -153x = -270 + 162x + -162x Combine like terms: 162x + -162x = 0 45 + -153x = -270 + 0 45 + -153x = -270 Add '-45' to each side of the equation. 45 + -45 + -153x = -270 + -45 Combine like terms: 45 + -45 = 0 0 + -153x = -270 + -45 -153x = -270 + -45 Combine like terms: -270 + -45 = -315 -153x = -315 Divide each side by '-153'. x = 2.058823529 Simplifying x = 2.058823529
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