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Simplifying 0.09 = x * 0.3 + (1 + -1x) * 0.7 Reorder the terms for easier multiplication: 0.09 = 0.3x + (1 + -1x) * 0.7 Reorder the terms for easier multiplication: 0.09 = 0.3x + 0.7(1 + -1x) 0.09 = 0.3x + (1 * 0.7 + -1x * 0.7) 0.09 = 0.3x + (0.7 + -0.7x) Reorder the terms: 0.09 = 0.7 + 0.3x + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 0.09 = 0.7 + -0.4x Solving 0.09 = 0.7 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.09 + 0.4x = 0.7 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.09 + 0.4x = 0.7 + 0.0 0.09 + 0.4x = 0.7 Add '-0.09' to each side of the equation. 0.09 + -0.09 + 0.4x = 0.7 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + 0.4x = 0.7 + -0.09 0.4x = 0.7 + -0.09 Combine like terms: 0.7 + -0.09 = 0.61 0.4x = 0.61 Divide each side by '0.4'. x = 1.525 Simplifying x = 1.525
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