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Simplifying 8(2x + 5) = 3(6x + 10) Reorder the terms: 8(5 + 2x) = 3(6x + 10) (5 * 8 + 2x * 8) = 3(6x + 10) (40 + 16x) = 3(6x + 10) Reorder the terms: 40 + 16x = 3(10 + 6x) 40 + 16x = (10 * 3 + 6x * 3) 40 + 16x = (30 + 18x) Solving 40 + 16x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 40 + 16x + -18x = 30 + 18x + -18x Combine like terms: 16x + -18x = -2x 40 + -2x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 40 + -2x = 30 + 0 40 + -2x = 30 Add '-40' to each side of the equation. 40 + -40 + -2x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 30 + -40 -2x = 30 + -40 Combine like terms: 30 + -40 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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