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Simplifying 0.3x + 0.9 = 0.7x + -0.3 Reorder the terms: 0.9 + 0.3x = 0.7x + -0.3 Reorder the terms: 0.9 + 0.3x = -0.3 + 0.7x Solving 0.9 + 0.3x = -0.3 + 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. 0.9 + 0.3x + -0.7x = -0.3 + 0.7x + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 0.9 + -0.4x = -0.3 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.9 + -0.4x = -0.3 + 0.0 0.9 + -0.4x = -0.3 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.4x = -0.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.4x = -0.3 + -0.9 -0.4x = -0.3 + -0.9 Combine like terms: -0.3 + -0.9 = -1.2 -0.4x = -1.2 Divide each side by '-0.4'. x = 3 Simplifying x = 3
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