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Simplifying 7[6x + 7 + 4(x + 1)] = 2x + 7 Reorder the terms: 7[6x + 7 + 4(1 + x)] = 2x + 7 7[6x + 7 + (1 * 4 + x * 4)] = 2x + 7 7[6x + 7 + (4 + 4x)] = 2x + 7 Reorder the terms: 7[7 + 4 + 6x + 4x] = 2x + 7 Combine like terms: 7 + 4 = 11 7[11 + 6x + 4x] = 2x + 7 Combine like terms: 6x + 4x = 10x 7[11 + 10x] = 2x + 7 [11 * 7 + 10x * 7] = 2x + 7 [77 + 70x] = 2x + 7 Reorder the terms: 77 + 70x = 7 + 2x Solving 77 + 70x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 77 + 70x + -2x = 7 + 2x + -2x Combine like terms: 70x + -2x = 68x 77 + 68x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 77 + 68x = 7 + 0 77 + 68x = 7 Add '-77' to each side of the equation. 77 + -77 + 68x = 7 + -77 Combine like terms: 77 + -77 = 0 0 + 68x = 7 + -77 68x = 7 + -77 Combine like terms: 7 + -77 = -70 68x = -70 Divide each side by '68'. x = -1.029411765 Simplifying x = -1.029411765
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