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Simplifying 3x + -7.5 + -2x + 6 = 2 + -1x + 5 Reorder the terms: -7.5 + 6 + 3x + -2x = 2 + -1x + 5 Combine like terms: -7.5 + 6 = -1.5 -1.5 + 3x + -2x = 2 + -1x + 5 Combine like terms: 3x + -2x = 1x -1.5 + 1x = 2 + -1x + 5 Reorder the terms: -1.5 + 1x = 2 + 5 + -1x Combine like terms: 2 + 5 = 7 -1.5 + 1x = 7 + -1x Solving -1.5 + 1x = 7 + -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. -1.5 + 1x + x = 7 + -1x + x Combine like terms: 1x + x = 2x -1.5 + 2x = 7 + -1x + x Combine like terms: -1x + x = 0 -1.5 + 2x = 7 + 0 -1.5 + 2x = 7 Add '1.5' to each side of the equation. -1.5 + 1.5 + 2x = 7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2x = 7 + 1.5 2x = 7 + 1.5 Combine like terms: 7 + 1.5 = 8.5 2x = 8.5 Divide each side by '2'. x = 4.25 Simplifying x = 4.25
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