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Simplifying x + -3 = 0.75(2 + -1x) + 6 Reorder the terms: -3 + x = 0.75(2 + -1x) + 6 -3 + x = (2 * 0.75 + -1x * 0.75) + 6 -3 + x = (1.5 + -0.75x) + 6 Reorder the terms: -3 + x = 1.5 + 6 + -0.75x Combine like terms: 1.5 + 6 = 7.5 -3 + x = 7.5 + -0.75x Solving -3 + x = 7.5 + -0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75x' to each side of the equation. -3 + x + 0.75x = 7.5 + -0.75x + 0.75x Combine like terms: x + 0.75x = 1.75x -3 + 1.75x = 7.5 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 -3 + 1.75x = 7.5 + 0.00 -3 + 1.75x = 7.5 Add '3' to each side of the equation. -3 + 3 + 1.75x = 7.5 + 3 Combine like terms: -3 + 3 = 0 0 + 1.75x = 7.5 + 3 1.75x = 7.5 + 3 Combine like terms: 7.5 + 3 = 10.5 1.75x = 10.5 Divide each side by '1.75'. x = 6 Simplifying x = 6
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