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Simplifying 4[3x + -1(1 + -2x)] = 9x + -10 4[3x + (1 * -1 + -2x * -1)] = 9x + -10 4[3x + (-1 + 2x)] = 9x + -10 Reorder the terms: 4[-1 + 3x + 2x] = 9x + -10 Combine like terms: 3x + 2x = 5x 4[-1 + 5x] = 9x + -10 [-1 * 4 + 5x * 4] = 9x + -10 [-4 + 20x] = 9x + -10 Reorder the terms: -4 + 20x = -10 + 9x Solving -4 + 20x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 20x + -9x = -10 + 9x + -9x Combine like terms: 20x + -9x = 11x -4 + 11x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + 11x = -10 + 0 -4 + 11x = -10 Add '4' to each side of the equation. -4 + 4 + 11x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = -10 + 4 11x = -10 + 4 Combine like terms: -10 + 4 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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