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Simplifying 32.7 = 29.3x + (1 + -1x) * 42.7 Reorder the terms for easier multiplication: 32.7 = 29.3x + 42.7(1 + -1x) 32.7 = 29.3x + (1 * 42.7 + -1x * 42.7) 32.7 = 29.3x + (42.7 + -42.7x) Reorder the terms: 32.7 = 42.7 + 29.3x + -42.7x Combine like terms: 29.3x + -42.7x = -13.4x 32.7 = 42.7 + -13.4x Solving 32.7 = 42.7 + -13.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.4x' to each side of the equation. 32.7 + 13.4x = 42.7 + -13.4x + 13.4x Combine like terms: -13.4x + 13.4x = 0.0 32.7 + 13.4x = 42.7 + 0.0 32.7 + 13.4x = 42.7 Add '-32.7' to each side of the equation. 32.7 + -32.7 + 13.4x = 42.7 + -32.7 Combine like terms: 32.7 + -32.7 = 0.0 0.0 + 13.4x = 42.7 + -32.7 13.4x = 42.7 + -32.7 Combine like terms: 42.7 + -32.7 = 10 13.4x = 10 Divide each side by '13.4'. x = 0.7462686567 Simplifying x = 0.7462686567
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