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Simplifying 0.4x + 0.5 = 0.43 + -0.6x + 0.43 Reorder the terms: 0.5 + 0.4x = 0.43 + -0.6x + 0.43 Reorder the terms: 0.5 + 0.4x = 0.43 + 0.43 + -0.6x Combine like terms: 0.43 + 0.43 = 0.86 0.5 + 0.4x = 0.86 + -0.6x Solving 0.5 + 0.4x = 0.86 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 0.5 + 0.4x + 0.6x = 0.86 + -0.6x + 0.6x Combine like terms: 0.4x + 0.6x = 1x 0.5 + 1x = 0.86 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.5 + 1x = 0.86 + 0.0 0.5 + 1x = 0.86 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1x = 0.86 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 0.86 + -0.5 1x = 0.86 + -0.5 Combine like terms: 0.86 + -0.5 = 0.36 1x = 0.36 Divide each side by '1'. x = 0.36 Simplifying x = 0.36
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