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Simplifying 9x + -2(x + -9) = 2(x + -3) + 1 Reorder the terms: 9x + -2(-9 + x) = 2(x + -3) + 1 9x + (-9 * -2 + x * -2) = 2(x + -3) + 1 9x + (18 + -2x) = 2(x + -3) + 1 Reorder the terms: 18 + 9x + -2x = 2(x + -3) + 1 Combine like terms: 9x + -2x = 7x 18 + 7x = 2(x + -3) + 1 Reorder the terms: 18 + 7x = 2(-3 + x) + 1 18 + 7x = (-3 * 2 + x * 2) + 1 18 + 7x = (-6 + 2x) + 1 Reorder the terms: 18 + 7x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 18 + 7x = -5 + 2x Solving 18 + 7x = -5 + 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. 18 + 7x + -2x = -5 + 2x + -2x Combine like terms: 7x + -2x = 5x 18 + 5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 5x = -5 + 0 18 + 5x = -5 Add '-18' to each side of the equation. 18 + -18 + 5x = -5 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -5 + -18 5x = -5 + -18 Combine like terms: -5 + -18 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6
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