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Simplifying 4(2x + 9) = 5(2x + 12) Reorder the terms: 4(9 + 2x) = 5(2x + 12) (9 * 4 + 2x * 4) = 5(2x + 12) (36 + 8x) = 5(2x + 12) Reorder the terms: 36 + 8x = 5(12 + 2x) 36 + 8x = (12 * 5 + 2x * 5) 36 + 8x = (60 + 10x) Solving 36 + 8x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 8x + -10x = 60 + 10x + -10x Combine like terms: 8x + -10x = -2x 36 + -2x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -2x = 60 + 0 36 + -2x = 60 Add '-36' to each side of the equation. 36 + -36 + -2x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 60 + -36 -2x = 60 + -36 Combine like terms: 60 + -36 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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