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Simplifying 4x + -5(2 + -1x) = 8x + 3x + 2 4x + (2 * -5 + -1x * -5) = 8x + 3x + 2 4x + (-10 + 5x) = 8x + 3x + 2 Reorder the terms: -10 + 4x + 5x = 8x + 3x + 2 Combine like terms: 4x + 5x = 9x -10 + 9x = 8x + 3x + 2 Reorder the terms: -10 + 9x = 2 + 8x + 3x Combine like terms: 8x + 3x = 11x -10 + 9x = 2 + 11x Solving -10 + 9x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 9x + -11x = 2 + 11x + -11x Combine like terms: 9x + -11x = -2x -10 + -2x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -2x = 2 + 0 -10 + -2x = 2 Add '10' to each side of the equation. -10 + 10 + -2x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 2 + 10 -2x = 2 + 10 Combine like terms: 2 + 10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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