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Simplifying 9x + 2 = 7(2x + -1) + -6 Reorder the terms: 2 + 9x = 7(2x + -1) + -6 Reorder the terms: 2 + 9x = 7(-1 + 2x) + -6 2 + 9x = (-1 * 7 + 2x * 7) + -6 2 + 9x = (-7 + 14x) + -6 Reorder the terms: 2 + 9x = -7 + -6 + 14x Combine like terms: -7 + -6 = -13 2 + 9x = -13 + 14x Solving 2 + 9x = -13 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 9x + -14x = -13 + 14x + -14x Combine like terms: 9x + -14x = -5x 2 + -5x = -13 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -5x = -13 + 0 2 + -5x = -13 Add '-2' to each side of the equation. 2 + -2 + -5x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -13 + -2 -5x = -13 + -2 Combine like terms: -13 + -2 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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