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Simplifying 1 = 0.1429(42x + 7) Reorder the terms: 1 = 0.1429(7 + 42x) 1 = (7 * 0.1429 + 42x * 0.1429) 1 = (1.0003 + 6.0018x) Solving 1 = 1.0003 + 6.0018x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.0018x' to each side of the equation. 1 + -6.0018x = 1.0003 + 6.0018x + -6.0018x Combine like terms: 6.0018x + -6.0018x = 0.0000 1 + -6.0018x = 1.0003 + 0.0000 1 + -6.0018x = 1.0003 Add '-1' to each side of the equation. 1 + -1 + -6.0018x = 1.0003 + -1 Combine like terms: 1 + -1 = 0 0 + -6.0018x = 1.0003 + -1 -6.0018x = 1.0003 + -1 Combine like terms: 1.0003 + -1 = 0.0003 -6.0018x = 0.0003 Divide each side by '-6.0018'. x = -0.0000499850045 Simplifying x = -0.0000499850045
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