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Simplifying 18(5x + -0.3) = 38(10.3 + -1x) Reorder the terms: 18(-0.3 + 5x) = 38(10.3 + -1x) (-0.3 * 18 + 5x * 18) = 38(10.3 + -1x) (-5.4 + 90x) = 38(10.3 + -1x) -5.4 + 90x = (10.3 * 38 + -1x * 38) -5.4 + 90x = (391.4 + -38x) Solving -5.4 + 90x = 391.4 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -5.4 + 90x + 38x = 391.4 + -38x + 38x Combine like terms: 90x + 38x = 128x -5.4 + 128x = 391.4 + -38x + 38x Combine like terms: -38x + 38x = 0 -5.4 + 128x = 391.4 + 0 -5.4 + 128x = 391.4 Add '5.4' to each side of the equation. -5.4 + 5.4 + 128x = 391.4 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 128x = 391.4 + 5.4 128x = 391.4 + 5.4 Combine like terms: 391.4 + 5.4 = 396.8 128x = 396.8 Divide each side by '128'. x = 3.1 Simplifying x = 3.1
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