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Simplifying x(6 + -11) = 7(x + -12) Combine like terms: 6 + -11 = -5 x(-5) = 7(x + -12) Reorder the terms for easier multiplication: -5x = 7(x + -12) Reorder the terms: -5x = 7(-12 + x) -5x = (-12 * 7 + x * 7) -5x = (-84 + 7x) Solving -5x = -84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5x + -7x = -84 + 7x + -7x Combine like terms: -5x + -7x = -12x -12x = -84 + 7x + -7x Combine like terms: 7x + -7x = 0 -12x = -84 + 0 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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