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Simplifying 4(x + 9) = 16(x + 5) Reorder the terms: 4(9 + x) = 16(x + 5) (9 * 4 + x * 4) = 16(x + 5) (36 + 4x) = 16(x + 5) Reorder the terms: 36 + 4x = 16(5 + x) 36 + 4x = (5 * 16 + x * 16) 36 + 4x = (80 + 16x) Solving 36 + 4x = 80 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 36 + 4x + -16x = 80 + 16x + -16x Combine like terms: 4x + -16x = -12x 36 + -12x = 80 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -12x = 80 + 0 36 + -12x = 80 Add '-36' to each side of the equation. 36 + -36 + -12x = 80 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 80 + -36 -12x = 80 + -36 Combine like terms: 80 + -36 = 44 -12x = 44 Divide each side by '-12'. x = -3.666666667 Simplifying x = -3.666666667
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