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Simplifying 0.3x + 5 = 0.7x + -3 Reorder the terms: 5 + 0.3x = 0.7x + -3 Reorder the terms: 5 + 0.3x = -3 + 0.7x Solving 5 + 0.3x = -3 + 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. 5 + 0.3x + -0.7x = -3 + 0.7x + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 5 + -0.4x = -3 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 5 + -0.4x = -3 + 0.0 5 + -0.4x = -3 Add '-5' to each side of the equation. 5 + -5 + -0.4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -0.4x = -3 + -5 -0.4x = -3 + -5 Combine like terms: -3 + -5 = -8 -0.4x = -8 Divide each side by '-0.4'. x = 20 Simplifying x = 20
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