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Simplifying 11x + -7 = 5 + 2[5x + -8] Reorder the terms: -7 + 11x = 5 + 2[5x + -8] Reorder the terms: -7 + 11x = 5 + 2[-8 + 5x] -7 + 11x = 5 + [-8 * 2 + 5x * 2] -7 + 11x = 5 + [-16 + 10x] Combine like terms: 5 + -16 = -11 -7 + 11x = -11 + 10x Solving -7 + 11x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 11x + -10x = -11 + 10x + -10x Combine like terms: 11x + -10x = 1x -7 + 1x = -11 + 10x + -10x Combine like terms: 10x + -10x = 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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