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Simplifying 9(x + -6) = 5(x + -10) Reorder the terms: 9(-6 + x) = 5(x + -10) (-6 * 9 + x * 9) = 5(x + -10) (-54 + 9x) = 5(x + -10) Reorder the terms: -54 + 9x = 5(-10 + x) -54 + 9x = (-10 * 5 + x * 5) -54 + 9x = (-50 + 5x) Solving -54 + 9x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + 9x + -5x = -50 + 5x + -5x Combine like terms: 9x + -5x = 4x -54 + 4x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 4x = -50 + 0 -54 + 4x = -50 Add '54' to each side of the equation. -54 + 54 + 4x = -50 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = -50 + 54 4x = -50 + 54 Combine like terms: -50 + 54 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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