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Simplifying 7(2x + -3) + -5(x + -2) + 15 = 27 Reorder the terms: 7(-3 + 2x) + -5(x + -2) + 15 = 27 (-3 * 7 + 2x * 7) + -5(x + -2) + 15 = 27 (-21 + 14x) + -5(x + -2) + 15 = 27 Reorder the terms: -21 + 14x + -5(-2 + x) + 15 = 27 -21 + 14x + (-2 * -5 + x * -5) + 15 = 27 -21 + 14x + (10 + -5x) + 15 = 27 Reorder the terms: -21 + 10 + 15 + 14x + -5x = 27 Combine like terms: -21 + 10 = -11 -11 + 15 + 14x + -5x = 27 Combine like terms: -11 + 15 = 4 4 + 14x + -5x = 27 Combine like terms: 14x + -5x = 9x 4 + 9x = 27 Solving 4 + 9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 27 + -4 9x = 27 + -4 Combine like terms: 27 + -4 = 23 9x = 23 Divide each side by '9'. x = 2.555555556 Simplifying x = 2.555555556
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