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Simplifying 2(-3x + -4) + -1(2x + 1) = -89 Reorder the terms: 2(-4 + -3x) + -1(2x + 1) = -89 (-4 * 2 + -3x * 2) + -1(2x + 1) = -89 (-8 + -6x) + -1(2x + 1) = -89 Reorder the terms: -8 + -6x + -1(1 + 2x) = -89 -8 + -6x + (1 * -1 + 2x * -1) = -89 -8 + -6x + (-1 + -2x) = -89 Reorder the terms: -8 + -1 + -6x + -2x = -89 Combine like terms: -8 + -1 = -9 -9 + -6x + -2x = -89 Combine like terms: -6x + -2x = -8x -9 + -8x = -89 Solving -9 + -8x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8x = -89 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -89 + 9 -8x = -89 + 9 Combine like terms: -89 + 9 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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