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Simplifying 1.5x + 5 = 0.2x + 9 Reorder the terms: 5 + 1.5x = 0.2x + 9 Reorder the terms: 5 + 1.5x = 9 + 0.2x Solving 5 + 1.5x = 9 + 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. 5 + 1.5x + -0.2x = 9 + 0.2x + -0.2x Combine like terms: 1.5x + -0.2x = 1.3x 5 + 1.3x = 9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 5 + 1.3x = 9 + 0.0 5 + 1.3x = 9 Add '-5' to each side of the equation. 5 + -5 + 1.3x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1.3x = 9 + -5 1.3x = 9 + -5 Combine like terms: 9 + -5 = 4 1.3x = 4 Divide each side by '1.3'. x = 3.076923077 Simplifying x = 3.076923077
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