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Simplifying 2(x + 3) + 5(3x + -10) = 58 Reorder the terms: 2(3 + x) + 5(3x + -10) = 58 (3 * 2 + x * 2) + 5(3x + -10) = 58 (6 + 2x) + 5(3x + -10) = 58 Reorder the terms: 6 + 2x + 5(-10 + 3x) = 58 6 + 2x + (-10 * 5 + 3x * 5) = 58 6 + 2x + (-50 + 15x) = 58 Reorder the terms: 6 + -50 + 2x + 15x = 58 Combine like terms: 6 + -50 = -44 -44 + 2x + 15x = 58 Combine like terms: 2x + 15x = 17x -44 + 17x = 58 Solving -44 + 17x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 17x = 58 + 44 Combine like terms: -44 + 44 = 0 0 + 17x = 58 + 44 17x = 58 + 44 Combine like terms: 58 + 44 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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