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Simplifying 3.5x + -45 = 21.9x + 47 Reorder the terms: -45 + 3.5x = 21.9x + 47 Reorder the terms: -45 + 3.5x = 47 + 21.9x Solving -45 + 3.5x = 47 + 21.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21.9x' to each side of the equation. -45 + 3.5x + -21.9x = 47 + 21.9x + -21.9x Combine like terms: 3.5x + -21.9x = -18.4x -45 + -18.4x = 47 + 21.9x + -21.9x Combine like terms: 21.9x + -21.9x = 0.0 -45 + -18.4x = 47 + 0.0 -45 + -18.4x = 47 Add '45' to each side of the equation. -45 + 45 + -18.4x = 47 + 45 Combine like terms: -45 + 45 = 0 0 + -18.4x = 47 + 45 -18.4x = 47 + 45 Combine like terms: 47 + 45 = 92 -18.4x = 92 Divide each side by '-18.4'. x = -5 Simplifying x = -5
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