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Simplifying 0 = 0.3(6x + -3((1 + -1x) + -2)) Remove parenthesis around (1 + -1x) 0 = 0.3(6x + -3(1 + -1x + -2)) Reorder the terms: 0 = 0.3(6x + -3(1 + -2 + -1x)) Combine like terms: 1 + -2 = -1 0 = 0.3(6x + -3(-1 + -1x)) 0 = 0.3(6x + (-1 * -3 + -1x * -3)) 0 = 0.3(6x + (3 + 3x)) Reorder the terms: 0 = 0.3(3 + 6x + 3x) Combine like terms: 6x + 3x = 9x 0 = 0.3(3 + 9x) 0 = (3 * 0.3 + 9x * 0.3) 0 = (0.9 + 2.7x) Solving 0 = 0.9 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 0 + -2.7x = 0.9 + 2.7x + -2.7x Remove the zero: -2.7x = 0.9 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -2.7x = 0.9 + 0.0 -2.7x = 0.9 Divide each side by '-2.7'. x = -0.3333333333 Simplifying x = -0.3333333333
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