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Simplifying 7[x + 2(4 + -1x)] = 2x + 1 7[x + (4 * 2 + -1x * 2)] = 2x + 1 7[x + (8 + -2x)] = 2x + 1 Reorder the terms: 7[8 + x + -2x] = 2x + 1 Combine like terms: x + -2x = -1x 7[8 + -1x] = 2x + 1 [8 * 7 + -1x * 7] = 2x + 1 [56 + -7x] = 2x + 1 Reorder the terms: 56 + -7x = 1 + 2x Solving 56 + -7x = 1 + 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. 56 + -7x + -2x = 1 + 2x + -2x Combine like terms: -7x + -2x = -9x 56 + -9x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + -9x = 1 + 0 56 + -9x = 1 Add '-56' to each side of the equation. 56 + -56 + -9x = 1 + -56 Combine like terms: 56 + -56 = 0 0 + -9x = 1 + -56 -9x = 1 + -56 Combine like terms: 1 + -56 = -55 -9x = -55 Divide each side by '-9'. x = 6.111111111 Simplifying x = 6.111111111
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