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Simplifying 3.5x + 0.1 = -7.74 + 6.3x Reorder the terms: 0.1 + 3.5x = -7.74 + 6.3x Solving 0.1 + 3.5x = -7.74 + 6.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.3x' to each side of the equation. 0.1 + 3.5x + -6.3x = -7.74 + 6.3x + -6.3x Combine like terms: 3.5x + -6.3x = -2.8x 0.1 + -2.8x = -7.74 + 6.3x + -6.3x Combine like terms: 6.3x + -6.3x = 0.0 0.1 + -2.8x = -7.74 + 0.0 0.1 + -2.8x = -7.74 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -2.8x = -7.74 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -2.8x = -7.74 + -0.1 -2.8x = -7.74 + -0.1 Combine like terms: -7.74 + -0.1 = -7.84 -2.8x = -7.84 Divide each side by '-2.8'. x = 2.8 Simplifying x = 2.8
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