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Simplifying 3x + 5x + -8 = 2(8 + x) Reorder the terms: -8 + 3x + 5x = 2(8 + x) Combine like terms: 3x + 5x = 8x -8 + 8x = 2(8 + x) -8 + 8x = (8 * 2 + x * 2) -8 + 8x = (16 + 2x) Solving -8 + 8x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 8x + -2x = 16 + 2x + -2x Combine like terms: 8x + -2x = 6x -8 + 6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 6x = 16 + 0 -8 + 6x = 16 Add '8' to each side of the equation. -8 + 8 + 6x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 16 + 8 6x = 16 + 8 Combine like terms: 16 + 8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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