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Simplifying -6(x + 4) + 31 = 11 + -7x Reorder the terms: -6(4 + x) + 31 = 11 + -7x (4 * -6 + x * -6) + 31 = 11 + -7x (-24 + -6x) + 31 = 11 + -7x Reorder the terms: -24 + 31 + -6x = 11 + -7x Combine like terms: -24 + 31 = 7 7 + -6x = 11 + -7x Solving 7 + -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. 7 + -6x + 7x = 11 + -7x + 7x Combine like terms: -6x + 7x = 1x 7 + 1x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 1x = 11 + 0 7 + 1x = 11 Add '-7' to each side of the equation. 7 + -7 + 1x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 11 + -7 1x = 11 + -7 Combine like terms: 11 + -7 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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