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Simplifying 0.25[2.5x + 1.5(1.5)] = -1x Multiply 1.5 * 1.5 0.25[2.5x + 2.25] = -1x Reorder the terms: 0.25[2.25 + 2.5x] = -1x [2.25 * 0.25 + 2.5x * 0.25] = -1x [0.5625 + 0.625x] = -1x Solving 0.5625 + 0.625x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.5625 + 0.625x + x = -1x + x Combine like terms: 0.625x + x = 1.625x 0.5625 + 1.625x = -1x + x Combine like terms: -1x + x = 0 0.5625 + 1.625x = 0 Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + 1.625x = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + 1.625x = 0 + -0.5625 1.625x = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 1.625x = -0.5625 Divide each side by '1.625'. x = -0.3461538462 Simplifying x = -0.3461538462
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