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Simplifying 100 + 0.4x = 70 + 0.7x Solving 100 + 0.4x = 70 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 100 + 0.4x + -0.7x = 70 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 100 + -0.3x = 70 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 100 + -0.3x = 70 + 0.0 100 + -0.3x = 70 Add '-100' to each side of the equation. 100 + -100 + -0.3x = 70 + -100 Combine like terms: 100 + -100 = 0 0 + -0.3x = 70 + -100 -0.3x = 70 + -100 Combine like terms: 70 + -100 = -30 -0.3x = -30 Divide each side by '-0.3'. x = 100 Simplifying x = 100
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