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Simplifying 5(3 + 5) = 2(6x + 10) Combine like terms: 3 + 5 = 8 5(8) = 2(6x + 10) Multiply 5 * 8 40 = 2(6x + 10) Reorder the terms: 40 = 2(10 + 6x) 40 = (10 * 2 + 6x * 2) 40 = (20 + 12x) Solving 40 = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + -12x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -12x = 20 + 0 40 + -12x = 20 Add '-40' to each side of the equation. 40 + -40 + -12x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -12x = 20 + -40 -12x = 20 + -40 Combine like terms: 20 + -40 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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