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Simplifying 90 + 0.4x = 70 + 0.8x Solving 90 + 0.4x = 70 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 90 + 0.4x + -0.8x = 70 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 90 + -0.4x = 70 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 90 + -0.4x = 70 + 0.0 90 + -0.4x = 70 Add '-90' to each side of the equation. 90 + -90 + -0.4x = 70 + -90 Combine like terms: 90 + -90 = 0 0 + -0.4x = 70 + -90 -0.4x = 70 + -90 Combine like terms: 70 + -90 = -20 -0.4x = -20 Divide each side by '-0.4'. x = 50 Simplifying x = 50
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