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Simplifying 12x + -1(4x + -3) = 8x + (9 + -4x) Reorder the terms: 12x + -1(-3 + 4x) = 8x + (9 + -4x) 12x + (-3 * -1 + 4x * -1) = 8x + (9 + -4x) 12x + (3 + -4x) = 8x + (9 + -4x) Reorder the terms: 3 + 12x + -4x = 8x + (9 + -4x) Combine like terms: 12x + -4x = 8x 3 + 8x = 8x + (9 + -4x) Remove parenthesis around (9 + -4x) 3 + 8x = 8x + 9 + -4x Reorder the terms: 3 + 8x = 9 + 8x + -4x Combine like terms: 8x + -4x = 4x 3 + 8x = 9 + 4x Solving 3 + 8x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 8x + -4x = 9 + 4x + -4x Combine like terms: 8x + -4x = 4x 3 + 4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 4x = 9 + 0 3 + 4x = 9 Add '-3' to each side of the equation. 3 + -3 + 4x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 9 + -3 4x = 9 + -3 Combine like terms: 9 + -3 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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