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Simplifying 6x + -1[5 + 32(1 + -2x)] = 5x + -4 6x + -1[5 + (1 * 32 + -2x * 32)] = 5x + -4 6x + -1[5 + (32 + -64x)] = 5x + -4 Combine like terms: 5 + 32 = 37 6x + -1[37 + -64x] = 5x + -4 6x + [37 * -1 + -64x * -1] = 5x + -4 6x + [-37 + 64x] = 5x + -4 Reorder the terms: -37 + 6x + 64x = 5x + -4 Combine like terms: 6x + 64x = 70x -37 + 70x = 5x + -4 Reorder the terms: -37 + 70x = -4 + 5x Solving -37 + 70x = -4 + 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. -37 + 70x + -5x = -4 + 5x + -5x Combine like terms: 70x + -5x = 65x -37 + 65x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 65x = -4 + 0 -37 + 65x = -4 Add '37' to each side of the equation. -37 + 37 + 65x = -4 + 37 Combine like terms: -37 + 37 = 0 0 + 65x = -4 + 37 65x = -4 + 37 Combine like terms: -4 + 37 = 33 65x = 33 Divide each side by '65'. x = 0.5076923077 Simplifying x = 0.5076923077
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