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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 = -6.4x -0.7 + -6.4x = 8.2x + -8.2x Combine like terms: 8.2x + -8.2x = 0.0 -0.7 + -6.4x = 0.0 Add '0.7' to each side of the equation. -0.7 + 0.7 + -6.4x = 0.0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + -6.4x = 0.0 + 0.7 -6.4x = 0.0 + 0.7 Combine like terms: 0.0 + 0.7 = 0.7 -6.4x = 0.7 Divide each side by '-6.4'. x = -0.109375 Simplifying x = -0.109375
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