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Simplifying 6x + 3(x + -0.2789) = 4(2x + 0.3912) Reorder the terms: 6x + 3(-0.2789 + x) = 4(2x + 0.3912) 6x + (-0.2789 * 3 + x * 3) = 4(2x + 0.3912) 6x + (-0.8367 + 3x) = 4(2x + 0.3912) Reorder the terms: -0.8367 + 6x + 3x = 4(2x + 0.3912) Combine like terms: 6x + 3x = 9x -0.8367 + 9x = 4(2x + 0.3912) Reorder the terms: -0.8367 + 9x = 4(0.3912 + 2x) -0.8367 + 9x = (0.3912 * 4 + 2x * 4) -0.8367 + 9x = (1.5648 + 8x) Solving -0.8367 + 9x = 1.5648 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -0.8367 + 9x + -8x = 1.5648 + 8x + -8x Combine like terms: 9x + -8x = 1x -0.8367 + 1x = 1.5648 + 8x + -8x Combine like terms: 8x + -8x = 0 -0.8367 + 1x = 1.5648 + 0 -0.8367 + 1x = 1.5648 Add '0.8367' to each side of the equation. -0.8367 + 0.8367 + 1x = 1.5648 + 0.8367 Combine like terms: -0.8367 + 0.8367 = 0.0000 0.0000 + 1x = 1.5648 + 0.8367 1x = 1.5648 + 0.8367 Combine like terms: 1.5648 + 0.8367 = 2.4015 1x = 2.4015 Divide each side by '1'. x = 2.4015 Simplifying x = 2.4015
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