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Simplifying 0.7x + -7 = 0.3x + -5 Reorder the terms: -7 + 0.7x = 0.3x + -5 Reorder the terms: -7 + 0.7x = -5 + 0.3x Solving -7 + 0.7x = -5 + 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. -7 + 0.7x + -0.3x = -5 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x -7 + 0.4x = -5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -7 + 0.4x = -5 + 0.0 -7 + 0.4x = -5 Add '7' to each side of the equation. -7 + 7 + 0.4x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 0.4x = -5 + 7 0.4x = -5 + 7 Combine like terms: -5 + 7 = 2 0.4x = 2 Divide each side by '0.4'. x = 5 Simplifying x = 5
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