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Simplifying 6x + 3(-0.2789) = 4(2x + 0.3912) Multiply 3 * -0.2789 6x + -0.8367 = 4(2x + 0.3912) Reorder the terms: -0.8367 + 6x = 4(2x + 0.3912) Reorder the terms: -0.8367 + 6x = 4(0.3912 + 2x) -0.8367 + 6x = (0.3912 * 4 + 2x * 4) -0.8367 + 6x = (1.5648 + 8x) Solving -0.8367 + 6x = 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 + 6x + -8x = 1.5648 + 8x + -8x Combine like terms: 6x + -8x = -2x -0.8367 + -2x = 1.5648 + 8x + -8x Combine like terms: 8x + -8x = 0 -0.8367 + -2x = 1.5648 + 0 -0.8367 + -2x = 1.5648 Add '0.8367' to each side of the equation. -0.8367 + 0.8367 + -2x = 1.5648 + 0.8367 Combine like terms: -0.8367 + 0.8367 = 0.0000 0.0000 + -2x = 1.5648 + 0.8367 -2x = 1.5648 + 0.8367 Combine like terms: 1.5648 + 0.8367 = 2.4015 -2x = 2.4015 Divide each side by '-2'. x = -1.20075 Simplifying x = -1.20075
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