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Simplifying 0.4x + 0.25(119 + -1x) = 35 0.4x + (119 * 0.25 + -1x * 0.25) = 35 0.4x + (29.75 + -0.25x) = 35 Reorder the terms: 29.75 + 0.4x + -0.25x = 35 Combine like terms: 0.4x + -0.25x = 0.15x 29.75 + 0.15x = 35 Solving 29.75 + 0.15x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29.75' to each side of the equation. 29.75 + -29.75 + 0.15x = 35 + -29.75 Combine like terms: 29.75 + -29.75 = 0.00 0.00 + 0.15x = 35 + -29.75 0.15x = 35 + -29.75 Combine like terms: 35 + -29.75 = 5.25 0.15x = 5.25 Divide each side by '0.15'. x = 35 Simplifying x = 35
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