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Simplifying 1.5x + 2.5 = 1.5x + 0.3x + 1 Reorder the terms: 2.5 + 1.5x = 1.5x + 0.3x + 1 Reorder the terms: 2.5 + 1.5x = 1 + 1.5x + 0.3x Combine like terms: 1.5x + 0.3x = 1.8x 2.5 + 1.5x = 1 + 1.8x Solving 2.5 + 1.5x = 1 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 2.5 + 1.5x + -1.8x = 1 + 1.8x + -1.8x Combine like terms: 1.5x + -1.8x = -0.3x 2.5 + -0.3x = 1 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 2.5 + -0.3x = 1 + 0.0 2.5 + -0.3x = 1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.3x = 1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.3x = 1 + -2.5 -0.3x = 1 + -2.5 Combine like terms: 1 + -2.5 = -1.5 -0.3x = -1.5 Divide each side by '-0.3'. x = 5 Simplifying x = 5
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