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Simplifying 7x + -1[(x + 4) + -1(2x + 1)] = 10 Reorder the terms: 7x + -1[(4 + x) + -1(2x + 1)] = 10 Remove parenthesis around (4 + x) 7x + -1[4 + x + -1(2x + 1)] = 10 Reorder the terms: 7x + -1[4 + x + -1(1 + 2x)] = 10 7x + -1[4 + x + (1 * -1 + 2x * -1)] = 10 7x + -1[4 + x + (-1 + -2x)] = 10 Reorder the terms: 7x + -1[4 + -1 + x + -2x] = 10 Combine like terms: 4 + -1 = 3 7x + -1[3 + x + -2x] = 10 Combine like terms: x + -2x = -1x 7x + -1[3 + -1x] = 10 7x + [3 * -1 + -1x * -1] = 10 7x + [-3 + 1x] = 10 Reorder the terms: -3 + 7x + 1x = 10 Combine like terms: 7x + 1x = 8x -3 + 8x = 10 Solving -3 + 8x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 10 + 3 8x = 10 + 3 Combine like terms: 10 + 3 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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