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Simplifying 6.4x + -3.5 = -0.5x + 4.2 Reorder the terms: -3.5 + 6.4x = -0.5x + 4.2 Reorder the terms: -3.5 + 6.4x = 4.2 + -0.5x Solving -3.5 + 6.4x = 4.2 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -3.5 + 6.4x + 0.5x = 4.2 + -0.5x + 0.5x Combine like terms: 6.4x + 0.5x = 6.9x -3.5 + 6.9x = 4.2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -3.5 + 6.9x = 4.2 + 0.0 -3.5 + 6.9x = 4.2 Add '3.5' to each side of the equation. -3.5 + 3.5 + 6.9x = 4.2 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 6.9x = 4.2 + 3.5 6.9x = 4.2 + 3.5 Combine like terms: 4.2 + 3.5 = 7.7 6.9x = 7.7 Divide each side by '6.9'. x = 1.115942029 Simplifying x = 1.115942029
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