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Simplifying 4.6x + 24 = 1.6x + 6 Reorder the terms: 24 + 4.6x = 1.6x + 6 Reorder the terms: 24 + 4.6x = 6 + 1.6x Solving 24 + 4.6x = 6 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 24 + 4.6x + -1.6x = 6 + 1.6x + -1.6x Combine like terms: 4.6x + -1.6x = 3x 24 + 3x = 6 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 24 + 3x = 6 + 0.0 24 + 3x = 6 Add '-24' to each side of the equation. 24 + -24 + 3x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 6 + -24 3x = 6 + -24 Combine like terms: 6 + -24 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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