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Simplifying 3x + 8 + -1(4x + 9) + 2x = 89 Reorder the terms: 3x + 8 + -1(9 + 4x) + 2x = 89 3x + 8 + (9 * -1 + 4x * -1) + 2x = 89 3x + 8 + (-9 + -4x) + 2x = 89 Reorder the terms: 8 + -9 + 3x + -4x + 2x = 89 Combine like terms: 8 + -9 = -1 -1 + 3x + -4x + 2x = 89 Combine like terms: 3x + -4x = -1x -1 + -1x + 2x = 89 Combine like terms: -1x + 2x = 1x -1 + 1x = 89 Solving -1 + 1x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 89 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 89 + 1 1x = 89 + 1 Combine like terms: 89 + 1 = 90 1x = 90 Divide each side by '1'. x = 90 Simplifying x = 90
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