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Simplifying -6(x + 6) + 44 = 11 + -7x Reorder the terms: -6(6 + x) + 44 = 11 + -7x (6 * -6 + x * -6) + 44 = 11 + -7x (-36 + -6x) + 44 = 11 + -7x Reorder the terms: -36 + 44 + -6x = 11 + -7x Combine like terms: -36 + 44 = 8 8 + -6x = 11 + -7x Solving 8 + -6x = 11 + -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. 8 + -6x + 7x = 11 + -7x + 7x Combine like terms: -6x + 7x = 1x 8 + 1x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 1x = 11 + 0 8 + 1x = 11 Add '-8' to each side of the equation. 8 + -8 + 1x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 11 + -8 1x = 11 + -8 Combine like terms: 11 + -8 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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