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Simplifying 24.78 + x * 6 = 6 + x(5.4) Reorder the terms for easier multiplication: 24.78 + 6x = 6 + x(5.4) Reorder the terms for easier multiplication: 24.78 + 6x = 6 + 5.4x Solving 24.78 + 6x = 6 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 24.78 + 6x + -5.4x = 6 + 5.4x + -5.4x Combine like terms: 6x + -5.4x = 0.6x 24.78 + 0.6x = 6 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 24.78 + 0.6x = 6 + 0.0 24.78 + 0.6x = 6 Add '-24.78' to each side of the equation. 24.78 + -24.78 + 0.6x = 6 + -24.78 Combine like terms: 24.78 + -24.78 = 0.00 0.00 + 0.6x = 6 + -24.78 0.6x = 6 + -24.78 Combine like terms: 6 + -24.78 = -18.78 0.6x = -18.78 Divide each side by '0.6'. x = -31.3 Simplifying x = -31.3
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