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Simplifying 7(2x + -1) = 9(2x + -3) + -6x Reorder the terms: 7(-1 + 2x) = 9(2x + -3) + -6x (-1 * 7 + 2x * 7) = 9(2x + -3) + -6x (-7 + 14x) = 9(2x + -3) + -6x Reorder the terms: -7 + 14x = 9(-3 + 2x) + -6x -7 + 14x = (-3 * 9 + 2x * 9) + -6x -7 + 14x = (-27 + 18x) + -6x Combine like terms: 18x + -6x = 12x -7 + 14x = -27 + 12x Solving -7 + 14x = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 14x + -12x = -27 + 12x + -12x Combine like terms: 14x + -12x = 2x -7 + 2x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 2x = -27 + 0 -7 + 2x = -27 Add '7' to each side of the equation. -7 + 7 + 2x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -27 + 7 2x = -27 + 7 Combine like terms: -27 + 7 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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