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Simplifying 9 + -4(2 + -1x) = 7x + -1(3 + x) 9 + (2 * -4 + -1x * -4) = 7x + -1(3 + x) 9 + (-8 + 4x) = 7x + -1(3 + x) Combine like terms: 9 + -8 = 1 1 + 4x = 7x + -1(3 + x) 1 + 4x = 7x + (3 * -1 + x * -1) 1 + 4x = 7x + (-3 + -1x) Reorder the terms: 1 + 4x = -3 + 7x + -1x Combine like terms: 7x + -1x = 6x 1 + 4x = -3 + 6x Solving 1 + 4x = -3 + 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. 1 + 4x + -6x = -3 + 6x + -6x Combine like terms: 4x + -6x = -2x 1 + -2x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -2x = -3 + 0 1 + -2x = -3 Add '-1' to each side of the equation. 1 + -1 + -2x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -3 + -1 -2x = -3 + -1 Combine like terms: -3 + -1 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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