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Simplifying 5 + -0.9x = -4 + -0.4x Solving 5 + -0.9x = -4 + -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. 5 + -0.9x + 0.4x = -4 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 5 + -0.5x = -4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 5 + -0.5x = -4 + 0.0 5 + -0.5x = -4 Add '-5' to each side of the equation. 5 + -5 + -0.5x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = -4 + -5 -0.5x = -4 + -5 Combine like terms: -4 + -5 = -9 -0.5x = -9 Divide each side by '-0.5'. x = 18 Simplifying x = 18
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