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Simplifying -1.5x + 12 = -2.5x + 16 Reorder the terms: 12 + -1.5x = -2.5x + 16 Reorder the terms: 12 + -1.5x = 16 + -2.5x Solving 12 + -1.5x = 16 + -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. 12 + -1.5x + 2.5x = 16 + -2.5x + 2.5x Combine like terms: -1.5x + 2.5x = 1x 12 + 1x = 16 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 12 + 1x = 16 + 0.0 12 + 1x = 16 Add '-12' to each side of the equation. 12 + -12 + 1x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 16 + -12 1x = 16 + -12 Combine like terms: 16 + -12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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