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Simplifying 7(14x + 6) = 38(30 + -5x) Reorder the terms: 7(6 + 14x) = 38(30 + -5x) (6 * 7 + 14x * 7) = 38(30 + -5x) (42 + 98x) = 38(30 + -5x) 42 + 98x = (30 * 38 + -5x * 38) 42 + 98x = (1140 + -190x) Solving 42 + 98x = 1140 + -190x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '190x' to each side of the equation. 42 + 98x + 190x = 1140 + -190x + 190x Combine like terms: 98x + 190x = 288x 42 + 288x = 1140 + -190x + 190x Combine like terms: -190x + 190x = 0 42 + 288x = 1140 + 0 42 + 288x = 1140 Add '-42' to each side of the equation. 42 + -42 + 288x = 1140 + -42 Combine like terms: 42 + -42 = 0 0 + 288x = 1140 + -42 288x = 1140 + -42 Combine like terms: 1140 + -42 = 1098 288x = 1098 Divide each side by '288'. x = 3.8125 Simplifying x = 3.8125
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