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Simplifying 0.4x + -0.07 = 0.3x + 7 Reorder the terms: -0.07 + 0.4x = 0.3x + 7 Reorder the terms: -0.07 + 0.4x = 7 + 0.3x Solving -0.07 + 0.4x = 7 + 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. -0.07 + 0.4x + -0.3x = 7 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x -0.07 + 0.1x = 7 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.07 + 0.1x = 7 + 0.0 -0.07 + 0.1x = 7 Add '0.07' to each side of the equation. -0.07 + 0.07 + 0.1x = 7 + 0.07 Combine like terms: -0.07 + 0.07 = 0.00 0.00 + 0.1x = 7 + 0.07 0.1x = 7 + 0.07 Combine like terms: 7 + 0.07 = 7.07 0.1x = 7.07 Divide each side by '0.1'. x = 70.7 Simplifying x = 70.7
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