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Simplifying 24.6 + 3x = -2x + 2(x + 4.77) Reorder the terms: 24.6 + 3x = -2x + 2(4.77 + x) 24.6 + 3x = -2x + (4.77 * 2 + x * 2) 24.6 + 3x = -2x + (9.54 + 2x) Reorder the terms: 24.6 + 3x = 9.54 + -2x + 2x Combine like terms: -2x + 2x = 0 24.6 + 3x = 9.54 + 0 24.6 + 3x = 9.54 Solving 24.6 + 3x = 9.54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.6' to each side of the equation. 24.6 + -24.6 + 3x = 9.54 + -24.6 Combine like terms: 24.6 + -24.6 = 0.0 0.0 + 3x = 9.54 + -24.6 3x = 9.54 + -24.6 Combine like terms: 9.54 + -24.6 = -15.06 3x = -15.06 Divide each side by '3'. x = -5.02 Simplifying x = -5.02
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