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Simplifying 6(2x + 1) = 4(4x + 27) Reorder the terms: 6(1 + 2x) = 4(4x + 27) (1 * 6 + 2x * 6) = 4(4x + 27) (6 + 12x) = 4(4x + 27) Reorder the terms: 6 + 12x = 4(27 + 4x) 6 + 12x = (27 * 4 + 4x * 4) 6 + 12x = (108 + 16x) Solving 6 + 12x = 108 + 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. 6 + 12x + -16x = 108 + 16x + -16x Combine like terms: 12x + -16x = -4x 6 + -4x = 108 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -4x = 108 + 0 6 + -4x = 108 Add '-6' to each side of the equation. 6 + -6 + -4x = 108 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 108 + -6 -4x = 108 + -6 Combine like terms: 108 + -6 = 102 -4x = 102 Divide each side by '-4'. x = -25.5 Simplifying x = -25.5
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