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Simplifying 8(3x + 5) = 5(8x + 6) Reorder the terms: 8(5 + 3x) = 5(8x + 6) (5 * 8 + 3x * 8) = 5(8x + 6) (40 + 24x) = 5(8x + 6) Reorder the terms: 40 + 24x = 5(6 + 8x) 40 + 24x = (6 * 5 + 8x * 5) 40 + 24x = (30 + 40x) Solving 40 + 24x = 30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 40 + 24x + -40x = 30 + 40x + -40x Combine like terms: 24x + -40x = -16x 40 + -16x = 30 + 40x + -40x Combine like terms: 40x + -40x = 0 40 + -16x = 30 + 0 40 + -16x = 30 Add '-40' to each side of the equation. 40 + -40 + -16x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = 30 + -40 -16x = 30 + -40 Combine like terms: 30 + -40 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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