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Simplifying 2(3x + 21) + 3(x + 19) = 15 Reorder the terms: 2(21 + 3x) + 3(x + 19) = 15 (21 * 2 + 3x * 2) + 3(x + 19) = 15 (42 + 6x) + 3(x + 19) = 15 Reorder the terms: 42 + 6x + 3(19 + x) = 15 42 + 6x + (19 * 3 + x * 3) = 15 42 + 6x + (57 + 3x) = 15 Reorder the terms: 42 + 57 + 6x + 3x = 15 Combine like terms: 42 + 57 = 99 99 + 6x + 3x = 15 Combine like terms: 6x + 3x = 9x 99 + 9x = 15 Solving 99 + 9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 9x = 15 + -99 Combine like terms: 99 + -99 = 0 0 + 9x = 15 + -99 9x = 15 + -99 Combine like terms: 15 + -99 = -84 9x = -84 Divide each side by '9'. x = -9.333333333 Simplifying x = -9.333333333
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