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Simplifying 1.5x + 6 = 2.5x + 45 Reorder the terms: 6 + 1.5x = 2.5x + 45 Reorder the terms: 6 + 1.5x = 45 + 2.5x Solving 6 + 1.5x = 45 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 6 + 1.5x + -2.5x = 45 + 2.5x + -2.5x Combine like terms: 1.5x + -2.5x = -1x 6 + -1x = 45 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 6 + -1x = 45 + 0.0 6 + -1x = 45 Add '-6' to each side of the equation. 6 + -6 + -1x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 45 + -6 -1x = 45 + -6 Combine like terms: 45 + -6 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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