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Simplifying 9x + -2(x + -7) = 2(x + -2) + 1 Reorder the terms: 9x + -2(-7 + x) = 2(x + -2) + 1 9x + (-7 * -2 + x * -2) = 2(x + -2) + 1 9x + (14 + -2x) = 2(x + -2) + 1 Reorder the terms: 14 + 9x + -2x = 2(x + -2) + 1 Combine like terms: 9x + -2x = 7x 14 + 7x = 2(x + -2) + 1 Reorder the terms: 14 + 7x = 2(-2 + x) + 1 14 + 7x = (-2 * 2 + x * 2) + 1 14 + 7x = (-4 + 2x) + 1 Reorder the terms: 14 + 7x = -4 + 1 + 2x Combine like terms: -4 + 1 = -3 14 + 7x = -3 + 2x Solving 14 + 7x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 7x + -2x = -3 + 2x + -2x Combine like terms: 7x + -2x = 5x 14 + 5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 5x = -3 + 0 14 + 5x = -3 Add '-14' to each side of the equation. 14 + -14 + 5x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -3 + -14 5x = -3 + -14 Combine like terms: -3 + -14 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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