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Simplifying 8x + 3 = 5(9x + -6) Reorder the terms: 3 + 8x = 5(9x + -6) Reorder the terms: 3 + 8x = 5(-6 + 9x) 3 + 8x = (-6 * 5 + 9x * 5) 3 + 8x = (-30 + 45x) Solving 3 + 8x = -30 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 3 + 8x + -45x = -30 + 45x + -45x Combine like terms: 8x + -45x = -37x 3 + -37x = -30 + 45x + -45x Combine like terms: 45x + -45x = 0 3 + -37x = -30 + 0 3 + -37x = -30 Add '-3' to each side of the equation. 3 + -3 + -37x = -30 + -3 Combine like terms: 3 + -3 = 0 0 + -37x = -30 + -3 -37x = -30 + -3 Combine like terms: -30 + -3 = -33 -37x = -33 Divide each side by '-37'. x = 0.8918918919 Simplifying x = 0.8918918919
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