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