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Simplifying 6(3x + -2) + 5(x + 3) = -89 Reorder the terms: 6(-2 + 3x) + 5(x + 3) = -89 (-2 * 6 + 3x * 6) + 5(x + 3) = -89 (-12 + 18x) + 5(x + 3) = -89 Reorder the terms: -12 + 18x + 5(3 + x) = -89 -12 + 18x + (3 * 5 + x * 5) = -89 -12 + 18x + (15 + 5x) = -89 Reorder the terms: -12 + 15 + 18x + 5x = -89 Combine like terms: -12 + 15 = 3 3 + 18x + 5x = -89 Combine like terms: 18x + 5x = 23x 3 + 23x = -89 Solving 3 + 23x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 23x = -89 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = -89 + -3 23x = -89 + -3 Combine like terms: -89 + -3 = -92 23x = -92 Divide each side by '23'. x = -4 Simplifying x = -4
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