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Simplifying 5x + 1.4 + -0.6x = 0.9x + -6.3 Reorder the terms: 1.4 + 5x + -0.6x = 0.9x + -6.3 Combine like terms: 5x + -0.6x = 4.4x 1.4 + 4.4x = 0.9x + -6.3 Reorder the terms: 1.4 + 4.4x = -6.3 + 0.9x Solving 1.4 + 4.4x = -6.3 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.4 + 4.4x + -0.9x = -6.3 + 0.9x + -0.9x Combine like terms: 4.4x + -0.9x = 3.5x 1.4 + 3.5x = -6.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.4 + 3.5x = -6.3 + 0.0 1.4 + 3.5x = -6.3 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 3.5x = -6.3 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 3.5x = -6.3 + -1.4 3.5x = -6.3 + -1.4 Combine like terms: -6.3 + -1.4 = -7.7 3.5x = -7.7 Divide each side by '3.5'. x = -2.2 Simplifying x = -2.2
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