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Simplifying 1.5x + 6 = 2x + 2.5 Reorder the terms: 6 + 1.5x = 2x + 2.5 Reorder the terms: 6 + 1.5x = 2.5 + 2x Solving 6 + 1.5x = 2.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 1.5x + -2x = 2.5 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 6 + -0.5x = 2.5 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -0.5x = 2.5 + 0 6 + -0.5x = 2.5 Add '-6' to each side of the equation. 6 + -6 + -0.5x = 2.5 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5x = 2.5 + -6 -0.5x = 2.5 + -6 Combine like terms: 2.5 + -6 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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