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Simplifying 7 * 9(x + -4) = 6 * 3(x + 1) Reorder the terms: 7 * 9(-4 + x) = 6 * 3(x + 1) Multiply 7 * 9 63(-4 + x) = 6 * 3(x + 1) (-4 * 63 + x * 63) = 6 * 3(x + 1) (-252 + 63x) = 6 * 3(x + 1) Reorder the terms: -252 + 63x = 6 * 3(1 + x) Multiply 6 * 3 -252 + 63x = 18(1 + x) -252 + 63x = (1 * 18 + x * 18) -252 + 63x = (18 + 18x) Solving -252 + 63x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -252 + 63x + -18x = 18 + 18x + -18x Combine like terms: 63x + -18x = 45x -252 + 45x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -252 + 45x = 18 + 0 -252 + 45x = 18 Add '252' to each side of the equation. -252 + 252 + 45x = 18 + 252 Combine like terms: -252 + 252 = 0 0 + 45x = 18 + 252 45x = 18 + 252 Combine like terms: 18 + 252 = 270 45x = 270 Divide each side by '45'. x = 6 Simplifying x = 6
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