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Simplifying 1.5 + -2(x + -1.5) + 2.75 = 6.75 + -3.25 Reorder the terms: 1.5 + -2(-1.5 + x) + 2.75 = 6.75 + -3.25 1.5 + (-1.5 * -2 + x * -2) + 2.75 = 6.75 + -3.25 1.5 + (3 + -2x) + 2.75 = 6.75 + -3.25 Reorder the terms: 1.5 + 3 + 2.75 + -2x = 6.75 + -3.25 Combine like terms: 1.5 + 3 = 4.5 4.5 + 2.75 + -2x = 6.75 + -3.25 Combine like terms: 4.5 + 2.75 = 7.25 7.25 + -2x = 6.75 + -3.25 Combine like terms: 6.75 + -3.25 = 3.5 7.25 + -2x = 3.5 Solving 7.25 + -2x = 3.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.25' to each side of the equation. 7.25 + -7.25 + -2x = 3.5 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + -2x = 3.5 + -7.25 -2x = 3.5 + -7.25 Combine like terms: 3.5 + -7.25 = -3.75 -2x = -3.75 Divide each side by '-2'. x = 1.875 Simplifying x = 1.875
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