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Simplifying 2(3x + 6) = 0.3(x + -9) Reorder the terms: 2(6 + 3x) = 0.3(x + -9) (6 * 2 + 3x * 2) = 0.3(x + -9) (12 + 6x) = 0.3(x + -9) Reorder the terms: 12 + 6x = 0.3(-9 + x) 12 + 6x = (-9 * 0.3 + x * 0.3) 12 + 6x = (-2.7 + 0.3x) Solving 12 + 6x = -2.7 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 12 + 6x + -0.3x = -2.7 + 0.3x + -0.3x Combine like terms: 6x + -0.3x = 5.7x 12 + 5.7x = -2.7 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 12 + 5.7x = -2.7 + 0.0 12 + 5.7x = -2.7 Add '-12' to each side of the equation. 12 + -12 + 5.7x = -2.7 + -12 Combine like terms: 12 + -12 = 0 0 + 5.7x = -2.7 + -12 5.7x = -2.7 + -12 Combine like terms: -2.7 + -12 = -14.7 5.7x = -14.7 Divide each side by '5.7'. x = -2.578947368 Simplifying x = -2.578947368
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