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Simplifying 0.3(6x + -9) + 2 = (-8.2x) Reorder the terms: 0.3(-9 + 6x) + 2 = (-8.2x) (-9 * 0.3 + 6x * 0.3) + 2 = (-8.2x) (-2.7 + 1.8x) + 2 = (-8.2x) Reorder the terms: -2.7 + 2 + 1.8x = (-8.2x) Combine like terms: -2.7 + 2 = -0.7 -0.7 + 1.8x = (-8.2x) Solving -0.7 + 1.8x = (-8.2x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(8.2x)' to each side of the equation. -0.7 + 1.8x + (8.2x) = (-8.2x) + (8.2x) Combine like terms: 1.8x + (8.2x) = 10x -0.7 + 10x = (-8.2x) + (8.2x) Combine like terms: (-8.2x) + (8.2x) = 0.0 -0.7 + 10x = 0.0 Add '0.7' to each side of the equation. -0.7 + 0.7 + 10x = 0.0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 10x = 0.0 + 0.7 10x = 0.0 + 0.7 Combine like terms: 0.0 + 0.7 = 0.7 10x = 0.7 Divide each side by '10'. x = 0.07 Simplifying x = 0.07
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