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Simplifying 4.7x + 46.5 = 23.7 + -6.7x Reorder the terms: 46.5 + 4.7x = 23.7 + -6.7x Solving 46.5 + 4.7x = 23.7 + -6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.7x' to each side of the equation. 46.5 + 4.7x + 6.7x = 23.7 + -6.7x + 6.7x Combine like terms: 4.7x + 6.7x = 11.4x 46.5 + 11.4x = 23.7 + -6.7x + 6.7x Combine like terms: -6.7x + 6.7x = 0.0 46.5 + 11.4x = 23.7 + 0.0 46.5 + 11.4x = 23.7 Add '-46.5' to each side of the equation. 46.5 + -46.5 + 11.4x = 23.7 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + 11.4x = 23.7 + -46.5 11.4x = 23.7 + -46.5 Combine like terms: 23.7 + -46.5 = -22.8 11.4x = -22.8 Divide each side by '11.4'. x = -2 Simplifying x = -2
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