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Simplifying 2.5x + -13 = 23 + -1.5x Reorder the terms: -13 + 2.5x = 23 + -1.5x Solving -13 + 2.5x = 23 + -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. -13 + 2.5x + 1.5x = 23 + -1.5x + 1.5x Combine like terms: 2.5x + 1.5x = 4x -13 + 4x = 23 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -13 + 4x = 23 + 0.0 -13 + 4x = 23 Add '13' to each side of the equation. -13 + 13 + 4x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 23 + 13 4x = 23 + 13 Combine like terms: 23 + 13 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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