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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 = 11x -50 + 11x = 3x + -2 Reorder the terms: -50 + 11x = -2 + 3x Solving -50 + 11x = -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 + 11x + -3x = -2 + 3x + -3x Combine like terms: 11x + -3x = 8x -50 + 8x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -50 + 8x = -2 + 0 -50 + 8x = -2 Add '50' to each side of the equation. -50 + 50 + 8x = -2 + 50 Combine like terms: -50 + 50 = 0 0 + 8x = -2 + 50 8x = -2 + 50 Combine like terms: -2 + 50 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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