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Simplifying 2.46 + 3x = -8 + 8(x + 4.77) Reorder the terms: 2.46 + 3x = -8 + 8(4.77 + x) 2.46 + 3x = -8 + (4.77 * 8 + x * 8) 2.46 + 3x = -8 + (38.16 + 8x) Combine like terms: -8 + 38.16 = 30.16 2.46 + 3x = 30.16 + 8x Solving 2.46 + 3x = 30.16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2.46 + 3x + -8x = 30.16 + 8x + -8x Combine like terms: 3x + -8x = -5x 2.46 + -5x = 30.16 + 8x + -8x Combine like terms: 8x + -8x = 0 2.46 + -5x = 30.16 + 0 2.46 + -5x = 30.16 Add '-2.46' to each side of the equation. 2.46 + -2.46 + -5x = 30.16 + -2.46 Combine like terms: 2.46 + -2.46 = 0.00 0.00 + -5x = 30.16 + -2.46 -5x = 30.16 + -2.46 Combine like terms: 30.16 + -2.46 = 27.7 -5x = 27.7 Divide each side by '-5'. x = -5.54 Simplifying x = -5.54
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