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Simplifying x + -6 + 2x + -5.5 = (2x + 7.5) * 2 Reorder the terms: -6 + -5.5 + x + 2x = (2x + 7.5) * 2 Combine like terms: -6 + -5.5 = -11.5 -11.5 + x + 2x = (2x + 7.5) * 2 Combine like terms: x + 2x = 3x -11.5 + 3x = (2x + 7.5) * 2 Reorder the terms: -11.5 + 3x = (7.5 + 2x) * 2 Reorder the terms for easier multiplication: -11.5 + 3x = 2(7.5 + 2x) -11.5 + 3x = (7.5 * 2 + 2x * 2) -11.5 + 3x = (15 + 4x) Solving -11.5 + 3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11.5 + 3x + -4x = 15 + 4x + -4x Combine like terms: 3x + -4x = -1x -11.5 + -1x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -11.5 + -1x = 15 + 0 -11.5 + -1x = 15 Add '11.5' to each side of the equation. -11.5 + 11.5 + -1x = 15 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -1x = 15 + 11.5 -1x = 15 + 11.5 Combine like terms: 15 + 11.5 = 26.5 -1x = 26.5 Divide each side by '-1'. x = -26.5 Simplifying x = -26.5
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