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Simplifying 0.4(x) + 0.25(129 + -1x) = 0.35(129) 0.4x + (129 * 0.25 + -1x * 0.25) = 0.35(129) 0.4x + (32.25 + -0.25x) = 0.35(129) Reorder the terms: 32.25 + 0.4x + -0.25x = 0.35(129) Combine like terms: 0.4x + -0.25x = 0.15x 32.25 + 0.15x = 0.35(129) Multiply 0.35 * 129 32.25 + 0.15x = 45.15 Solving 32.25 + 0.15x = 45.15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32.25' to each side of the equation. 32.25 + -32.25 + 0.15x = 45.15 + -32.25 Combine like terms: 32.25 + -32.25 = 0.00 0.00 + 0.15x = 45.15 + -32.25 0.15x = 45.15 + -32.25 Combine like terms: 45.15 + -32.25 = 12.9 0.15x = 12.9 Divide each side by '0.15'. x = 86 Simplifying x = 86
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