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Simplifying 8(x + 3) = 4(3x + a) Reorder the terms: 8(3 + x) = 4(3x + a) (3 * 8 + x * 8) = 4(3x + a) (24 + 8x) = 4(3x + a) Reorder the terms: 24 + 8x = 4(a + 3x) 24 + 8x = (a * 4 + 3x * 4) 24 + 8x = (4a + 12x) Solving 24 + 8x = 4a + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 8x + -12x = 4a + 12x + -12x Combine like terms: 8x + -12x = -4x 24 + -4x = 4a + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -4x = 4a + 0 24 + -4x = 4a Add '-24' to each side of the equation. 24 + -24 + -4x = -24 + 4a Combine like terms: 24 + -24 = 0 0 + -4x = -24 + 4a -4x = -24 + 4a Divide each side by '-4'. x = 6 + -1a Simplifying x = 6 + -1a
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