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Simplifying 2[3(x + 4) + -7] + 1 = 8x + -11 Reorder the terms: 2[3(4 + x) + -7] + 1 = 8x + -11 2[(4 * 3 + x * 3) + -7] + 1 = 8x + -11 2[(12 + 3x) + -7] + 1 = 8x + -11 Reorder the terms: 2[12 + -7 + 3x] + 1 = 8x + -11 Combine like terms: 12 + -7 = 5 2[5 + 3x] + 1 = 8x + -11 [5 * 2 + 3x * 2] + 1 = 8x + -11 [10 + 6x] + 1 = 8x + -11 Reorder the terms: 10 + 1 + 6x = 8x + -11 Combine like terms: 10 + 1 = 11 11 + 6x = 8x + -11 Reorder the terms: 11 + 6x = -11 + 8x Solving 11 + 6x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 6x + -8x = -11 + 8x + -8x Combine like terms: 6x + -8x = -2x 11 + -2x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -2x = -11 + 0 11 + -2x = -11 Add '-11' to each side of the equation. 11 + -11 + -2x = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -11 + -11 -2x = -11 + -11 Combine like terms: -11 + -11 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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