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Simplifying 0.4x + 0.25(52 + -1x) = 17.16 0.4x + (52 * 0.25 + -1x * 0.25) = 17.16 0.4x + (13 + -0.25x) = 17.16 Reorder the terms: 13 + 0.4x + -0.25x = 17.16 Combine like terms: 0.4x + -0.25x = 0.15x 13 + 0.15x = 17.16 Solving 13 + 0.15x = 17.16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 0.15x = 17.16 + -13 Combine like terms: 13 + -13 = 0 0 + 0.15x = 17.16 + -13 0.15x = 17.16 + -13 Combine like terms: 17.16 + -13 = 4.16 0.15x = 4.16 Divide each side by '0.15'. x = 27.73333333 Simplifying x = 27.73333333
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