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Simplifying 6x + -5[4(x + 6) + -1(x + -2)] + -7 = 0 Reorder the terms: 6x + -5[4(6 + x) + -1(x + -2)] + -7 = 0 6x + -5[(6 * 4 + x * 4) + -1(x + -2)] + -7 = 0 6x + -5[(24 + 4x) + -1(x + -2)] + -7 = 0 Reorder the terms: 6x + -5[24 + 4x + -1(-2 + x)] + -7 = 0 6x + -5[24 + 4x + (-2 * -1 + x * -1)] + -7 = 0 6x + -5[24 + 4x + (2 + -1x)] + -7 = 0 Reorder the terms: 6x + -5[24 + 2 + 4x + -1x] + -7 = 0 Combine like terms: 24 + 2 = 26 6x + -5[26 + 4x + -1x] + -7 = 0 Combine like terms: 4x + -1x = 3x 6x + -5[26 + 3x] + -7 = 0 6x + [26 * -5 + 3x * -5] + -7 = 0 6x + [-130 + -15x] + -7 = 0 Reorder the terms: -130 + -7 + 6x + -15x = 0 Combine like terms: -130 + -7 = -137 -137 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x -137 + -9x = 0 Solving -137 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + -9x = 0 + 137 Combine like terms: -137 + 137 = 0 0 + -9x = 0 + 137 -9x = 0 + 137 Combine like terms: 0 + 137 = 137 -9x = 137 Divide each side by '-9'. x = -15.22222222 Simplifying x = -15.22222222
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