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Simplifying 4(4x + 66) = 3(13 + -3x) Reorder the terms: 4(66 + 4x) = 3(13 + -3x) (66 * 4 + 4x * 4) = 3(13 + -3x) (264 + 16x) = 3(13 + -3x) 264 + 16x = (13 * 3 + -3x * 3) 264 + 16x = (39 + -9x) Solving 264 + 16x = 39 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 264 + 16x + 9x = 39 + -9x + 9x Combine like terms: 16x + 9x = 25x 264 + 25x = 39 + -9x + 9x Combine like terms: -9x + 9x = 0 264 + 25x = 39 + 0 264 + 25x = 39 Add '-264' to each side of the equation. 264 + -264 + 25x = 39 + -264 Combine like terms: 264 + -264 = 0 0 + 25x = 39 + -264 25x = 39 + -264 Combine like terms: 39 + -264 = -225 25x = -225 Divide each side by '25'. x = -9 Simplifying x = -9
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