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Simplifying 1 + 9(x + -2) = 7(x + -3) Reorder the terms: 1 + 9(-2 + x) = 7(x + -3) 1 + (-2 * 9 + x * 9) = 7(x + -3) 1 + (-18 + 9x) = 7(x + -3) Combine like terms: 1 + -18 = -17 -17 + 9x = 7(x + -3) Reorder the terms: -17 + 9x = 7(-3 + x) -17 + 9x = (-3 * 7 + x * 7) -17 + 9x = (-21 + 7x) Solving -17 + 9x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 9x + -7x = -21 + 7x + -7x Combine like terms: 9x + -7x = 2x -17 + 2x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 2x = -21 + 0 -17 + 2x = -21 Add '17' to each side of the equation. -17 + 17 + 2x = -21 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -21 + 17 2x = -21 + 17 Combine like terms: -21 + 17 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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