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Simplifying 16(x + 3) = 4(x + 9) Reorder the terms: 16(3 + x) = 4(x + 9) (3 * 16 + x * 16) = 4(x + 9) (48 + 16x) = 4(x + 9) Reorder the terms: 48 + 16x = 4(9 + x) 48 + 16x = (9 * 4 + x * 4) 48 + 16x = (36 + 4x) Solving 48 + 16x = 36 + 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. 48 + 16x + -4x = 36 + 4x + -4x Combine like terms: 16x + -4x = 12x 48 + 12x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 12x = 36 + 0 48 + 12x = 36 Add '-48' to each side of the equation. 48 + -48 + 12x = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 12x = 36 + -48 12x = 36 + -48 Combine like terms: 36 + -48 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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