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Simplifying 6x + 1.5 = 2x + 9.1 Reorder the terms: 1.5 + 6x = 2x + 9.1 Reorder the terms: 1.5 + 6x = 9.1 + 2x Solving 1.5 + 6x = 9.1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.5 + 6x + -2x = 9.1 + 2x + -2x Combine like terms: 6x + -2x = 4x 1.5 + 4x = 9.1 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + 4x = 9.1 + 0 1.5 + 4x = 9.1 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 4x = 9.1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4x = 9.1 + -1.5 4x = 9.1 + -1.5 Combine like terms: 9.1 + -1.5 = 7.6 4x = 7.6 Divide each side by '4'. x = 1.9 Simplifying x = 1.9
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