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Simplifying 1.5x + 1 = 0.2x + 8 Reorder the terms: 1 + 1.5x = 0.2x + 8 Reorder the terms: 1 + 1.5x = 8 + 0.2x Solving 1 + 1.5x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1 + 1.5x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 1.5x + -0.2x = 1.3x 1 + 1.3x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1 + 1.3x = 8 + 0.0 1 + 1.3x = 8 Add '-1' to each side of the equation. 1 + -1 + 1.3x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1.3x = 8 + -1 1.3x = 8 + -1 Combine like terms: 8 + -1 = 7 1.3x = 7 Divide each side by '1.3'. x = 5.384615385 Simplifying x = 5.384615385
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