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Simplifying -1.2x + 0.4 + 6.4x + -2.4 = 5 + -3.8x + 4 Reorder the terms: 0.4 + -2.4 + -1.2x + 6.4x = 5 + -3.8x + 4 Combine like terms: 0.4 + -2.4 = -2 -2 + -1.2x + 6.4x = 5 + -3.8x + 4 Combine like terms: -1.2x + 6.4x = 5.2x -2 + 5.2x = 5 + -3.8x + 4 Reorder the terms: -2 + 5.2x = 5 + 4 + -3.8x Combine like terms: 5 + 4 = 9 -2 + 5.2x = 9 + -3.8x Solving -2 + 5.2x = 9 + -3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.8x' to each side of the equation. -2 + 5.2x + 3.8x = 9 + -3.8x + 3.8x Combine like terms: 5.2x + 3.8x = 9x -2 + 9x = 9 + -3.8x + 3.8x Combine like terms: -3.8x + 3.8x = 0.0 -2 + 9x = 9 + 0.0 -2 + 9x = 9 Add '2' to each side of the equation. -2 + 2 + 9x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 9 + 2 9x = 9 + 2 Combine like terms: 9 + 2 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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