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Simplifying 2x + -1(4 + 3x) = 89 + (11 + -2x) 2x + (4 * -1 + 3x * -1) = 89 + (11 + -2x) 2x + (-4 + -3x) = 89 + (11 + -2x) Reorder the terms: -4 + 2x + -3x = 89 + (11 + -2x) Combine like terms: 2x + -3x = -1x -4 + -1x = 89 + (11 + -2x) Remove parenthesis around (11 + -2x) -4 + -1x = 89 + 11 + -2x Combine like terms: 89 + 11 = 100 -4 + -1x = 100 + -2x Solving -4 + -1x = 100 + -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. -4 + -1x + 2x = 100 + -2x + 2x Combine like terms: -1x + 2x = 1x -4 + 1x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 1x = 100 + 0 -4 + 1x = 100 Add '4' to each side of the equation. -4 + 4 + 1x = 100 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 100 + 4 1x = 100 + 4 Combine like terms: 100 + 4 = 104 1x = 104 Divide each side by '1'. x = 104 Simplifying x = 104
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