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Simplifying 1 = 0.3 + (1 + -0.3 + -1x) * 0.6 + x Combine like terms: 1 + -0.3 = 0.7 1 = 0.3 + (0.7 + -1x) * 0.6 + x Reorder the terms for easier multiplication: 1 = 0.3 + 0.6(0.7 + -1x) + x 1 = 0.3 + (0.7 * 0.6 + -1x * 0.6) + x 1 = 0.3 + (0.42 + -0.6x) + x Combine like terms: 0.3 + 0.42 = 0.72 1 = 0.72 + -0.6x + x Combine like terms: -0.6x + x = 0.4x 1 = 0.72 + 0.4x Solving 1 = 0.72 + 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. 1 + -0.4x = 0.72 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1 + -0.4x = 0.72 + 0.0 1 + -0.4x = 0.72 Add '-1' to each side of the equation. 1 + -1 + -0.4x = 0.72 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4x = 0.72 + -1 -0.4x = 0.72 + -1 Combine like terms: 0.72 + -1 = -0.28 -0.4x = -0.28 Divide each side by '-0.4'. x = 0.7 Simplifying x = 0.7
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