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Simplifying x + 2 + -6(x + -6) = 6(6 + -1x) + 6 Reorder the terms: x + 2 + -6(-6 + x) = 6(6 + -1x) + 6 x + 2 + (-6 * -6 + x * -6) = 6(6 + -1x) + 6 x + 2 + (36 + -6x) = 6(6 + -1x) + 6 Reorder the terms: 2 + 36 + x + -6x = 6(6 + -1x) + 6 Combine like terms: 2 + 36 = 38 38 + x + -6x = 6(6 + -1x) + 6 Combine like terms: x + -6x = -5x 38 + -5x = 6(6 + -1x) + 6 38 + -5x = (6 * 6 + -1x * 6) + 6 38 + -5x = (36 + -6x) + 6 Reorder the terms: 38 + -5x = 36 + 6 + -6x Combine like terms: 36 + 6 = 42 38 + -5x = 42 + -6x Solving 38 + -5x = 42 + -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. 38 + -5x + 6x = 42 + -6x + 6x Combine like terms: -5x + 6x = 1x 38 + 1x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 1x = 42 + 0 38 + 1x = 42 Add '-38' to each side of the equation. 38 + -38 + 1x = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 42 + -38 1x = 42 + -38 Combine like terms: 42 + -38 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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