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Simplifying 6x + 4(3x + 6) = 114 Reorder the terms: 6x + 4(6 + 3x) = 114 6x + (6 * 4 + 3x * 4) = 114 6x + (24 + 12x) = 114 Reorder the terms: 24 + 6x + 12x = 114 Combine like terms: 6x + 12x = 18x 24 + 18x = 114 Solving 24 + 18x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 18x = 114 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 114 + -24 18x = 114 + -24 Combine like terms: 114 + -24 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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