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Simplifying 9x + -1(2x + -3) = 2(x + 1) + 4x Reorder the terms: 9x + -1(-3 + 2x) = 2(x + 1) + 4x 9x + (-3 * -1 + 2x * -1) = 2(x + 1) + 4x 9x + (3 + -2x) = 2(x + 1) + 4x Reorder the terms: 3 + 9x + -2x = 2(x + 1) + 4x Combine like terms: 9x + -2x = 7x 3 + 7x = 2(x + 1) + 4x Reorder the terms: 3 + 7x = 2(1 + x) + 4x 3 + 7x = (1 * 2 + x * 2) + 4x 3 + 7x = (2 + 2x) + 4x Combine like terms: 2x + 4x = 6x 3 + 7x = 2 + 6x Solving 3 + 7x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x 3 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 1x = 2 + 0 3 + 1x = 2 Add '-3' to each side of the equation. 3 + -3 + 1x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 2 + -3 1x = 2 + -3 Combine like terms: 2 + -3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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