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Simplifying -2.5x + 33 = 1.5x + 5 Reorder the terms: 33 + -2.5x = 1.5x + 5 Reorder the terms: 33 + -2.5x = 5 + 1.5x Solving 33 + -2.5x = 5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 33 + -2.5x + -1.5x = 5 + 1.5x + -1.5x Combine like terms: -2.5x + -1.5x = -4x 33 + -4x = 5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 33 + -4x = 5 + 0.0 33 + -4x = 5 Add '-33' to each side of the equation. 33 + -33 + -4x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -4x = 5 + -33 -4x = 5 + -33 Combine like terms: 5 + -33 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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