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Simplifying 5(x + 9) + 2 = -9(x + -9) + -7 Reorder the terms: 5(9 + x) + 2 = -9(x + -9) + -7 (9 * 5 + x * 5) + 2 = -9(x + -9) + -7 (45 + 5x) + 2 = -9(x + -9) + -7 Reorder the terms: 45 + 2 + 5x = -9(x + -9) + -7 Combine like terms: 45 + 2 = 47 47 + 5x = -9(x + -9) + -7 Reorder the terms: 47 + 5x = -9(-9 + x) + -7 47 + 5x = (-9 * -9 + x * -9) + -7 47 + 5x = (81 + -9x) + -7 Reorder the terms: 47 + 5x = 81 + -7 + -9x Combine like terms: 81 + -7 = 74 47 + 5x = 74 + -9x Solving 47 + 5x = 74 + -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. 47 + 5x + 9x = 74 + -9x + 9x Combine like terms: 5x + 9x = 14x 47 + 14x = 74 + -9x + 9x Combine like terms: -9x + 9x = 0 47 + 14x = 74 + 0 47 + 14x = 74 Add '-47' to each side of the equation. 47 + -47 + 14x = 74 + -47 Combine like terms: 47 + -47 = 0 0 + 14x = 74 + -47 14x = 74 + -47 Combine like terms: 74 + -47 = 27 14x = 27 Divide each side by '14'. x = 1.928571429 Simplifying x = 1.928571429
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