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Simplifying 4(3x + 5) = 9(x + 3) + 10 Reorder the terms: 4(5 + 3x) = 9(x + 3) + 10 (5 * 4 + 3x * 4) = 9(x + 3) + 10 (20 + 12x) = 9(x + 3) + 10 Reorder the terms: 20 + 12x = 9(3 + x) + 10 20 + 12x = (3 * 9 + x * 9) + 10 20 + 12x = (27 + 9x) + 10 Reorder the terms: 20 + 12x = 27 + 10 + 9x Combine like terms: 27 + 10 = 37 20 + 12x = 37 + 9x Solving 20 + 12x = 37 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 12x + -9x = 37 + 9x + -9x Combine like terms: 12x + -9x = 3x 20 + 3x = 37 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 3x = 37 + 0 20 + 3x = 37 Add '-20' to each side of the equation. 20 + -20 + 3x = 37 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 37 + -20 3x = 37 + -20 Combine like terms: 37 + -20 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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