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Simplifying 9(6x + -14) = 2(3x + 4) Reorder the terms: 9(-14 + 6x) = 2(3x + 4) (-14 * 9 + 6x * 9) = 2(3x + 4) (-126 + 54x) = 2(3x + 4) Reorder the terms: -126 + 54x = 2(4 + 3x) -126 + 54x = (4 * 2 + 3x * 2) -126 + 54x = (8 + 6x) Solving -126 + 54x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -126 + 54x + -6x = 8 + 6x + -6x Combine like terms: 54x + -6x = 48x -126 + 48x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -126 + 48x = 8 + 0 -126 + 48x = 8 Add '126' to each side of the equation. -126 + 126 + 48x = 8 + 126 Combine like terms: -126 + 126 = 0 0 + 48x = 8 + 126 48x = 8 + 126 Combine like terms: 8 + 126 = 134 48x = 134 Divide each side by '48'. x = 2.791666667 Simplifying x = 2.791666667
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