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Simplifying 0.75(x + -270) + -0.17x = 0.71x + -235 Reorder the terms: 0.75(-270 + x) + -0.17x = 0.71x + -235 (-270 * 0.75 + x * 0.75) + -0.17x = 0.71x + -235 (-202.5 + 0.75x) + -0.17x = 0.71x + -235 Combine like terms: 0.75x + -0.17x = 0.58x -202.5 + 0.58x = 0.71x + -235 Reorder the terms: -202.5 + 0.58x = -235 + 0.71x Solving -202.5 + 0.58x = -235 + 0.71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.71x' to each side of the equation. -202.5 + 0.58x + -0.71x = -235 + 0.71x + -0.71x Combine like terms: 0.58x + -0.71x = -0.13x -202.5 + -0.13x = -235 + 0.71x + -0.71x Combine like terms: 0.71x + -0.71x = 0.00 -202.5 + -0.13x = -235 + 0.00 -202.5 + -0.13x = -235 Add '202.5' to each side of the equation. -202.5 + 202.5 + -0.13x = -235 + 202.5 Combine like terms: -202.5 + 202.5 = 0.0 0.0 + -0.13x = -235 + 202.5 -0.13x = -235 + 202.5 Combine like terms: -235 + 202.5 = -32.5 -0.13x = -32.5 Divide each side by '-0.13'. x = 250 Simplifying x = 250
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