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Simplifying 9(x + 5) = 6(x + -2) Reorder the terms: 9(5 + x) = 6(x + -2) (5 * 9 + x * 9) = 6(x + -2) (45 + 9x) = 6(x + -2) Reorder the terms: 45 + 9x = 6(-2 + x) 45 + 9x = (-2 * 6 + x * 6) 45 + 9x = (-12 + 6x) Solving 45 + 9x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 9x + -6x = -12 + 6x + -6x Combine like terms: 9x + -6x = 3x 45 + 3x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 3x = -12 + 0 45 + 3x = -12 Add '-45' to each side of the equation. 45 + -45 + 3x = -12 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = -12 + -45 3x = -12 + -45 Combine like terms: -12 + -45 = -57 3x = -57 Divide each side by '3'. x = -19 Simplifying x = -19
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