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Simplifying 3(x + 7) + -2(3x + 6) = 10 Reorder the terms: 3(7 + x) + -2(3x + 6) = 10 (7 * 3 + x * 3) + -2(3x + 6) = 10 (21 + 3x) + -2(3x + 6) = 10 Reorder the terms: 21 + 3x + -2(6 + 3x) = 10 21 + 3x + (6 * -2 + 3x * -2) = 10 21 + 3x + (-12 + -6x) = 10 Reorder the terms: 21 + -12 + 3x + -6x = 10 Combine like terms: 21 + -12 = 9 9 + 3x + -6x = 10 Combine like terms: 3x + -6x = -3x 9 + -3x = 10 Solving 9 + -3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 10 + -9 -3x = 10 + -9 Combine like terms: 10 + -9 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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