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Simplifying 5(9x + -4x + 8) = 9(9x + 8 + -7) Reorder the terms: 5(8 + 9x + -4x) = 9(9x + 8 + -7) Combine like terms: 9x + -4x = 5x 5(8 + 5x) = 9(9x + 8 + -7) (8 * 5 + 5x * 5) = 9(9x + 8 + -7) (40 + 25x) = 9(9x + 8 + -7) Reorder the terms: 40 + 25x = 9(8 + -7 + 9x) Combine like terms: 8 + -7 = 1 40 + 25x = 9(1 + 9x) 40 + 25x = (1 * 9 + 9x * 9) 40 + 25x = (9 + 81x) Solving 40 + 25x = 9 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 40 + 25x + -81x = 9 + 81x + -81x Combine like terms: 25x + -81x = -56x 40 + -56x = 9 + 81x + -81x Combine like terms: 81x + -81x = 0 40 + -56x = 9 + 0 40 + -56x = 9 Add '-40' to each side of the equation. 40 + -40 + -56x = 9 + -40 Combine like terms: 40 + -40 = 0 0 + -56x = 9 + -40 -56x = 9 + -40 Combine like terms: 9 + -40 = -31 -56x = -31 Divide each side by '-56'. x = 0.5535714286 Simplifying x = 0.5535714286
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