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Simplifying 6x + -23[2(x + 1) + -7] = 0 Reorder the terms: 6x + -23[2(1 + x) + -7] = 0 6x + -23[(1 * 2 + x * 2) + -7] = 0 6x + -23[(2 + 2x) + -7] = 0 Reorder the terms: 6x + -23[2 + -7 + 2x] = 0 Combine like terms: 2 + -7 = -5 6x + -23[-5 + 2x] = 0 6x + [-5 * -23 + 2x * -23] = 0 6x + [115 + -46x] = 0 Reorder the terms: 115 + 6x + -46x = 0 Combine like terms: 6x + -46x = -40x 115 + -40x = 0 Solving 115 + -40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + -40x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -40x = 0 + -115 -40x = 0 + -115 Combine like terms: 0 + -115 = -115 -40x = -115 Divide each side by '-40'. x = 2.875 Simplifying x = 2.875
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