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Simplifying x + -5(2x + -10) = 3x + -2 Reorder the terms: x + -5(-10 + 2x) = 3x + -2 x + (-10 * -5 + 2x * -5) = 3x + -2 x + (50 + -10x) = 3x + -2 Reorder the terms: 50 + x + -10x = 3x + -2 Combine like terms: x + -10x = -9x 50 + -9x = 3x + -2 Reorder the terms: 50 + -9x = -2 + 3x Solving 50 + -9x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + -9x + -3x = -2 + 3x + -3x Combine like terms: -9x + -3x = -12x 50 + -12x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + -12x = -2 + 0 50 + -12x = -2 Add '-50' to each side of the equation. 50 + -50 + -12x = -2 + -50 Combine like terms: 50 + -50 = 0 0 + -12x = -2 + -50 -12x = -2 + -50 Combine like terms: -2 + -50 = -52 -12x = -52 Divide each side by '-12'. x = 4.333333333 Simplifying x = 4.333333333
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