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Simplifying 8 + 4(3x + -7) = 8(2 + x) Reorder the terms: 8 + 4(-7 + 3x) = 8(2 + x) 8 + (-7 * 4 + 3x * 4) = 8(2 + x) 8 + (-28 + 12x) = 8(2 + x) Combine like terms: 8 + -28 = -20 -20 + 12x = 8(2 + x) -20 + 12x = (2 * 8 + x * 8) -20 + 12x = (16 + 8x) Solving -20 + 12x = 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. -20 + 12x + -8x = 16 + 8x + -8x Combine like terms: 12x + -8x = 4x -20 + 4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 4x = 16 + 0 -20 + 4x = 16 Add '20' to each side of the equation. -20 + 20 + 4x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 16 + 20 4x = 16 + 20 Combine like terms: 16 + 20 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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