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Simplifying 0.4(x + -3.5) = 5.8x + 1.84 Reorder the terms: 0.4(-3.5 + x) = 5.8x + 1.84 (-3.5 * 0.4 + x * 0.4) = 5.8x + 1.84 (-1.4 + 0.4x) = 5.8x + 1.84 Reorder the terms: -1.4 + 0.4x = 1.84 + 5.8x Solving -1.4 + 0.4x = 1.84 + 5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8x' to each side of the equation. -1.4 + 0.4x + -5.8x = 1.84 + 5.8x + -5.8x Combine like terms: 0.4x + -5.8x = -5.4x -1.4 + -5.4x = 1.84 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 -1.4 + -5.4x = 1.84 + 0.0 -1.4 + -5.4x = 1.84 Add '1.4' to each side of the equation. -1.4 + 1.4 + -5.4x = 1.84 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -5.4x = 1.84 + 1.4 -5.4x = 1.84 + 1.4 Combine like terms: 1.84 + 1.4 = 3.24 -5.4x = 3.24 Divide each side by '-5.4'. x = -0.6 Simplifying x = -0.6
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