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Simplifying x + 1.5 = 5x + -7.5 Reorder the terms: 1.5 + x = 5x + -7.5 Reorder the terms: 1.5 + x = -7.5 + 5x Solving 1.5 + x = -7.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.5 + x + -5x = -7.5 + 5x + -5x Combine like terms: x + -5x = -4x 1.5 + -4x = -7.5 + 5x + -5x Combine like terms: 5x + -5x = 0 1.5 + -4x = -7.5 + 0 1.5 + -4x = -7.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -4x = -7.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -4x = -7.5 + -1.5 -4x = -7.5 + -1.5 Combine like terms: -7.5 + -1.5 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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