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Simplifying 12x + 7 = 11(x + 4) Reorder the terms: 7 + 12x = 11(x + 4) Reorder the terms: 7 + 12x = 11(4 + x) 7 + 12x = (4 * 11 + x * 11) 7 + 12x = (44 + 11x) Solving 7 + 12x = 44 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 12x + -11x = 44 + 11x + -11x Combine like terms: 12x + -11x = 1x 7 + 1x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + 1x = 44 + 0 7 + 1x = 44 Add '-7' to each side of the equation. 7 + -7 + 1x = 44 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 44 + -7 1x = 44 + -7 Combine like terms: 44 + -7 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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