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Simplifying 6(2x + -7) + -4 = 6(x + -6) + 2 Reorder the terms: 6(-7 + 2x) + -4 = 6(x + -6) + 2 (-7 * 6 + 2x * 6) + -4 = 6(x + -6) + 2 (-42 + 12x) + -4 = 6(x + -6) + 2 Reorder the terms: -42 + -4 + 12x = 6(x + -6) + 2 Combine like terms: -42 + -4 = -46 -46 + 12x = 6(x + -6) + 2 Reorder the terms: -46 + 12x = 6(-6 + x) + 2 -46 + 12x = (-6 * 6 + x * 6) + 2 -46 + 12x = (-36 + 6x) + 2 Reorder the terms: -46 + 12x = -36 + 2 + 6x Combine like terms: -36 + 2 = -34 -46 + 12x = -34 + 6x Solving -46 + 12x = -34 + 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. -46 + 12x + -6x = -34 + 6x + -6x Combine like terms: 12x + -6x = 6x -46 + 6x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 6x = -34 + 0 -46 + 6x = -34 Add '46' to each side of the equation. -46 + 46 + 6x = -34 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = -34 + 46 6x = -34 + 46 Combine like terms: -34 + 46 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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