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Simplifying -0.9x + 1.93 = -0.4x + 5.93 Reorder the terms: 1.93 + -0.9x = -0.4x + 5.93 Reorder the terms: 1.93 + -0.9x = 5.93 + -0.4x Solving 1.93 + -0.9x = 5.93 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 1.93 + -0.9x + 0.4x = 5.93 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 1.93 + -0.5x = 5.93 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1.93 + -0.5x = 5.93 + 0.0 1.93 + -0.5x = 5.93 Add '-1.93' to each side of the equation. 1.93 + -1.93 + -0.5x = 5.93 + -1.93 Combine like terms: 1.93 + -1.93 = 0.00 0.00 + -0.5x = 5.93 + -1.93 -0.5x = 5.93 + -1.93 Combine like terms: 5.93 + -1.93 = 4 -0.5x = 4 Divide each side by '-0.5'. x = -8 Simplifying x = -8
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