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Simplifying 0.3(6 + -9x) = -0.2(15x + -10) (6 * 0.3 + -9x * 0.3) = -0.2(15x + -10) (1.8 + -2.7x) = -0.2(15x + -10) Reorder the terms: 1.8 + -2.7x = -0.2(-10 + 15x) 1.8 + -2.7x = (-10 * -0.2 + 15x * -0.2) 1.8 + -2.7x = (2 + -3x) Solving 1.8 + -2.7x = 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. 1.8 + -2.7x + 3x = 2 + -3x + 3x Combine like terms: -2.7x + 3x = 0.3x 1.8 + 0.3x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 1.8 + 0.3x = 2 + 0 1.8 + 0.3x = 2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.3x = 2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.3x = 2 + -1.8 0.3x = 2 + -1.8 Combine like terms: 2 + -1.8 = 0.2 0.3x = 0.2 Divide each side by '0.3'. x = 0.6666666667 Simplifying x = 0.6666666667
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