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Simplifying 10 + 12x = 3(5 + 3x) + -3 10 + 12x = (5 * 3 + 3x * 3) + -3 10 + 12x = (15 + 9x) + -3 Reorder the terms: 10 + 12x = 15 + -3 + 9x Combine like terms: 15 + -3 = 12 10 + 12x = 12 + 9x Solving 10 + 12x = 12 + 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. 10 + 12x + -9x = 12 + 9x + -9x Combine like terms: 12x + -9x = 3x 10 + 3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 3x = 12 + 0 10 + 3x = 12 Add '-10' to each side of the equation. 10 + -10 + 3x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 12 + -10 3x = 12 + -10 Combine like terms: 12 + -10 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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