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Simplifying 8x + 12 = 4(2 + 3x) Reorder the terms: 12 + 8x = 4(2 + 3x) 12 + 8x = (2 * 4 + 3x * 4) 12 + 8x = (8 + 12x) Solving 12 + 8x = 8 + 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. 12 + 8x + -12x = 8 + 12x + -12x Combine like terms: 8x + -12x = -4x 12 + -4x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -4x = 8 + 0 12 + -4x = 8 Add '-12' to each side of the equation. 12 + -12 + -4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 8 + -12 -4x = 8 + -12 Combine like terms: 8 + -12 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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