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Simplifying 16(x + 7) = 9(x + 7) Reorder the terms: 16(7 + x) = 9(x + 7) (7 * 16 + x * 16) = 9(x + 7) (112 + 16x) = 9(x + 7) Reorder the terms: 112 + 16x = 9(7 + x) 112 + 16x = (7 * 9 + x * 9) 112 + 16x = (63 + 9x) Solving 112 + 16x = 63 + 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. 112 + 16x + -9x = 63 + 9x + -9x Combine like terms: 16x + -9x = 7x 112 + 7x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 112 + 7x = 63 + 0 112 + 7x = 63 Add '-112' to each side of the equation. 112 + -112 + 7x = 63 + -112 Combine like terms: 112 + -112 = 0 0 + 7x = 63 + -112 7x = 63 + -112 Combine like terms: 63 + -112 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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