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Simplifying 2(x + -5) = 9(x + -89) Reorder the terms: 2(-5 + x) = 9(x + -89) (-5 * 2 + x * 2) = 9(x + -89) (-10 + 2x) = 9(x + -89) Reorder the terms: -10 + 2x = 9(-89 + x) -10 + 2x = (-89 * 9 + x * 9) -10 + 2x = (-801 + 9x) Solving -10 + 2x = -801 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 2x + -9x = -801 + 9x + -9x Combine like terms: 2x + -9x = -7x -10 + -7x = -801 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -7x = -801 + 0 -10 + -7x = -801 Add '10' to each side of the equation. -10 + 10 + -7x = -801 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -801 + 10 -7x = -801 + 10 Combine like terms: -801 + 10 = -791 -7x = -791 Divide each side by '-7'. x = 113 Simplifying x = 113
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