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Simplifying 0.3(0.7x + -0.4) = 0.2x Reorder the terms: 0.3(-0.4 + 0.7x) = 0.2x (-0.4 * 0.3 + 0.7x * 0.3) = 0.2x (-0.12 + 0.21x) = 0.2x Solving -0.12 + 0.21x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.12 + 0.21x + -0.2x = 0.2x + -0.2x Combine like terms: 0.21x + -0.2x = 0.01x -0.12 + 0.01x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.12 + 0.01x = 0.0 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.01x = 0.0 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.01x = 0.0 + 0.12 0.01x = 0.0 + 0.12 Combine like terms: 0.0 + 0.12 = 0.12 0.01x = 0.12 Divide each side by '0.01'. x = 12 Simplifying x = 12
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