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Simplifying 3(2x + 11) = (x + 4) * 36 Reorder the terms: 3(11 + 2x) = (x + 4) * 36 (11 * 3 + 2x * 3) = (x + 4) * 36 (33 + 6x) = (x + 4) * 36 Reorder the terms: 33 + 6x = (4 + x) * 36 Reorder the terms for easier multiplication: 33 + 6x = 36(4 + x) 33 + 6x = (4 * 36 + x * 36) 33 + 6x = (144 + 36x) Solving 33 + 6x = 144 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 33 + 6x + -36x = 144 + 36x + -36x Combine like terms: 6x + -36x = -30x 33 + -30x = 144 + 36x + -36x Combine like terms: 36x + -36x = 0 33 + -30x = 144 + 0 33 + -30x = 144 Add '-33' to each side of the equation. 33 + -33 + -30x = 144 + -33 Combine like terms: 33 + -33 = 0 0 + -30x = 144 + -33 -30x = 144 + -33 Combine like terms: 144 + -33 = 111 -30x = 111 Divide each side by '-30'. x = -3.7 Simplifying x = -3.7
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