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Simplifying 11x + 6[7(5 + -1x) + -6(5 + x)] = -37 11x + 6[(5 * 7 + -1x * 7) + -6(5 + x)] = -37 11x + 6[(35 + -7x) + -6(5 + x)] = -37 11x + 6[35 + -7x + (5 * -6 + x * -6)] = -37 11x + 6[35 + -7x + (-30 + -6x)] = -37 Reorder the terms: 11x + 6[35 + -30 + -7x + -6x] = -37 Combine like terms: 35 + -30 = 5 11x + 6[5 + -7x + -6x] = -37 Combine like terms: -7x + -6x = -13x 11x + 6[5 + -13x] = -37 11x + [5 * 6 + -13x * 6] = -37 11x + [30 + -78x] = -37 Reorder the terms: 30 + 11x + -78x = -37 Combine like terms: 11x + -78x = -67x 30 + -67x = -37 Solving 30 + -67x = -37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -67x = -37 + -30 Combine like terms: 30 + -30 = 0 0 + -67x = -37 + -30 -67x = -37 + -30 Combine like terms: -37 + -30 = -67 -67x = -67 Divide each side by '-67'. x = 1 Simplifying x = 1
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