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Simplifying -2[x + -5(3x + 4) + -6] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 Reorder the terms: -2[x + -5(4 + 3x) + -6] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 -2[x + (4 * -5 + 3x * -5) + -6] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 -2[x + (-20 + -15x) + -6] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 Reorder the terms: -2[-20 + -6 + x + -15x] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 Combine like terms: -20 + -6 = -26 -2[-26 + x + -15x] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 Combine like terms: x + -15x = -14x -2[-26 + -14x] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 [-26 * -2 + -14x * -2] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 [52 + 28x] + 6[-4 + 7(9x + -1) + -2(x + -6)] = 0 Reorder the terms: 52 + 28x + 6[-4 + 7(-1 + 9x) + -2(x + -6)] = 0 52 + 28x + 6[-4 + (-1 * 7 + 9x * 7) + -2(x + -6)] = 0 52 + 28x + 6[-4 + (-7 + 63x) + -2(x + -6)] = 0 Reorder the terms: 52 + 28x + 6[-4 + -7 + 63x + -2(-6 + x)] = 0 52 + 28x + 6[-4 + -7 + 63x + (-6 * -2 + x * -2)] = 0 52 + 28x + 6[-4 + -7 + 63x + (12 + -2x)] = 0 Reorder the terms: 52 + 28x + 6[-4 + -7 + 12 + 63x + -2x] = 0 Combine like terms: -4 + -7 = -11 52 + 28x + 6[-11 + 12 + 63x + -2x] = 0 Combine like terms: -11 + 12 = 1 52 + 28x + 6[1 + 63x + -2x] = 0 Combine like terms: 63x + -2x = 61x 52 + 28x + 6[1 + 61x] = 0 52 + 28x + [1 * 6 + 61x * 6] = 0 52 + 28x + [6 + 366x] = 0 Reorder the terms: 52 + 6 + 28x + 366x = 0 Combine like terms: 52 + 6 = 58 58 + 28x + 366x = 0 Combine like terms: 28x + 366x = 394x 58 + 394x = 0 Solving 58 + 394x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 394x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 394x = 0 + -58 394x = 0 + -58 Combine like terms: 0 + -58 = -58 394x = -58 Divide each side by '394'. x = -0.1472081218 Simplifying x = -0.1472081218
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