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Simplifying 5(3x + -2) + 2(x + 7) = 55 Reorder the terms: 5(-2 + 3x) + 2(x + 7) = 55 (-2 * 5 + 3x * 5) + 2(x + 7) = 55 (-10 + 15x) + 2(x + 7) = 55 Reorder the terms: -10 + 15x + 2(7 + x) = 55 -10 + 15x + (7 * 2 + x * 2) = 55 -10 + 15x + (14 + 2x) = 55 Reorder the terms: -10 + 14 + 15x + 2x = 55 Combine like terms: -10 + 14 = 4 4 + 15x + 2x = 55 Combine like terms: 15x + 2x = 17x 4 + 17x = 55 Solving 4 + 17x = 55 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 + 17x = 55 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 55 + -4 17x = 55 + -4 Combine like terms: 55 + -4 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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