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Simplifying 0.7x + 1 = 0.3x + 9 Reorder the terms: 1 + 0.7x = 0.3x + 9 Reorder the terms: 1 + 0.7x = 9 + 0.3x Solving 1 + 0.7x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1 + 0.7x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x 1 + 0.4x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1 + 0.4x = 9 + 0.0 1 + 0.4x = 9 Add '-1' to each side of the equation. 1 + -1 + 0.4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4x = 9 + -1 0.4x = 9 + -1 Combine like terms: 9 + -1 = 8 0.4x = 8 Divide each side by '0.4'. x = 20 Simplifying x = 20
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