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Simplifying 12(x + 8) = 7(7x + -3) Reorder the terms: 12(8 + x) = 7(7x + -3) (8 * 12 + x * 12) = 7(7x + -3) (96 + 12x) = 7(7x + -3) Reorder the terms: 96 + 12x = 7(-3 + 7x) 96 + 12x = (-3 * 7 + 7x * 7) 96 + 12x = (-21 + 49x) Solving 96 + 12x = -21 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 96 + 12x + -49x = -21 + 49x + -49x Combine like terms: 12x + -49x = -37x 96 + -37x = -21 + 49x + -49x Combine like terms: 49x + -49x = 0 96 + -37x = -21 + 0 96 + -37x = -21 Add '-96' to each side of the equation. 96 + -96 + -37x = -21 + -96 Combine like terms: 96 + -96 = 0 0 + -37x = -21 + -96 -37x = -21 + -96 Combine like terms: -21 + -96 = -117 -37x = -117 Divide each side by '-37'. x = 3.162162162 Simplifying x = 3.162162162
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