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Simplifying 2x + 5(3x + -2) = 3x + 2(4 + x) + 52 Reorder the terms: 2x + 5(-2 + 3x) = 3x + 2(4 + x) + 52 2x + (-2 * 5 + 3x * 5) = 3x + 2(4 + x) + 52 2x + (-10 + 15x) = 3x + 2(4 + x) + 52 Reorder the terms: -10 + 2x + 15x = 3x + 2(4 + x) + 52 Combine like terms: 2x + 15x = 17x -10 + 17x = 3x + 2(4 + x) + 52 -10 + 17x = 3x + (4 * 2 + x * 2) + 52 -10 + 17x = 3x + (8 + 2x) + 52 Reorder the terms: -10 + 17x = 8 + 52 + 3x + 2x Combine like terms: 8 + 52 = 60 -10 + 17x = 60 + 3x + 2x Combine like terms: 3x + 2x = 5x -10 + 17x = 60 + 5x Solving -10 + 17x = 60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 17x + -5x = 60 + 5x + -5x Combine like terms: 17x + -5x = 12x -10 + 12x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 12x = 60 + 0 -10 + 12x = 60 Add '10' to each side of the equation. -10 + 10 + 12x = 60 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 60 + 10 12x = 60 + 10 Combine like terms: 60 + 10 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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