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Simplifying 5(3x + -10) + 2x = 12 + -1(-5x + 2) Reorder the terms: 5(-10 + 3x) + 2x = 12 + -1(-5x + 2) (-10 * 5 + 3x * 5) + 2x = 12 + -1(-5x + 2) (-50 + 15x) + 2x = 12 + -1(-5x + 2) Combine like terms: 15x + 2x = 17x -50 + 17x = 12 + -1(-5x + 2) Reorder the terms: -50 + 17x = 12 + -1(2 + -5x) -50 + 17x = 12 + (2 * -1 + -5x * -1) -50 + 17x = 12 + (-2 + 5x) Combine like terms: 12 + -2 = 10 -50 + 17x = 10 + 5x Solving -50 + 17x = 10 + 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. -50 + 17x + -5x = 10 + 5x + -5x Combine like terms: 17x + -5x = 12x -50 + 12x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + 12x = 10 + 0 -50 + 12x = 10 Add '50' to each side of the equation. -50 + 50 + 12x = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 12x = 10 + 50 12x = 10 + 50 Combine like terms: 10 + 50 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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