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Simplifying 6(x + 9) = 4(x + -5) Reorder the terms: 6(9 + x) = 4(x + -5) (9 * 6 + x * 6) = 4(x + -5) (54 + 6x) = 4(x + -5) Reorder the terms: 54 + 6x = 4(-5 + x) 54 + 6x = (-5 * 4 + x * 4) 54 + 6x = (-20 + 4x) Solving 54 + 6x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 54 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x 54 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 2x = -20 + 0 54 + 2x = -20 Add '-54' to each side of the equation. 54 + -54 + 2x = -20 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -20 + -54 2x = -20 + -54 Combine like terms: -20 + -54 = -74 2x = -74 Divide each side by '2'. x = -37 Simplifying x = -37
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