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Simplifying 5(x + 9) + 28 = 2(x + -17) Reorder the terms: 5(9 + x) + 28 = 2(x + -17) (9 * 5 + x * 5) + 28 = 2(x + -17) (45 + 5x) + 28 = 2(x + -17) Reorder the terms: 45 + 28 + 5x = 2(x + -17) Combine like terms: 45 + 28 = 73 73 + 5x = 2(x + -17) Reorder the terms: 73 + 5x = 2(-17 + x) 73 + 5x = (-17 * 2 + x * 2) 73 + 5x = (-34 + 2x) Solving 73 + 5x = -34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 73 + 5x + -2x = -34 + 2x + -2x Combine like terms: 5x + -2x = 3x 73 + 3x = -34 + 2x + -2x Combine like terms: 2x + -2x = 0 73 + 3x = -34 + 0 73 + 3x = -34 Add '-73' to each side of the equation. 73 + -73 + 3x = -34 + -73 Combine like terms: 73 + -73 = 0 0 + 3x = -34 + -73 3x = -34 + -73 Combine like terms: -34 + -73 = -107 3x = -107 Divide each side by '3'. x = -35.66666667 Simplifying x = -35.66666667
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