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Simplifying 7x + 3(4x + 2) = 5x + 118 Reorder the terms: 7x + 3(2 + 4x) = 5x + 118 7x + (2 * 3 + 4x * 3) = 5x + 118 7x + (6 + 12x) = 5x + 118 Reorder the terms: 6 + 7x + 12x = 5x + 118 Combine like terms: 7x + 12x = 19x 6 + 19x = 5x + 118 Reorder the terms: 6 + 19x = 118 + 5x Solving 6 + 19x = 118 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 19x + -5x = 118 + 5x + -5x Combine like terms: 19x + -5x = 14x 6 + 14x = 118 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 14x = 118 + 0 6 + 14x = 118 Add '-6' to each side of the equation. 6 + -6 + 14x = 118 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 118 + -6 14x = 118 + -6 Combine like terms: 118 + -6 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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