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Simplifying 4(2x + -3) + -1[2(8x + -7) + 10] = 0 Reorder the terms: 4(-3 + 2x) + -1[2(8x + -7) + 10] = 0 (-3 * 4 + 2x * 4) + -1[2(8x + -7) + 10] = 0 (-12 + 8x) + -1[2(8x + -7) + 10] = 0 Reorder the terms: -12 + 8x + -1[2(-7 + 8x) + 10] = 0 -12 + 8x + -1[(-7 * 2 + 8x * 2) + 10] = 0 -12 + 8x + -1[(-14 + 16x) + 10] = 0 Reorder the terms: -12 + 8x + -1[-14 + 10 + 16x] = 0 Combine like terms: -14 + 10 = -4 -12 + 8x + -1[-4 + 16x] = 0 -12 + 8x + [-4 * -1 + 16x * -1] = 0 -12 + 8x + [4 + -16x] = 0 Reorder the terms: -12 + 4 + 8x + -16x = 0 Combine like terms: -12 + 4 = -8 -8 + 8x + -16x = 0 Combine like terms: 8x + -16x = -8x -8 + -8x = 0 Solving -8 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 0 + 8 -8x = 0 + 8 Combine like terms: 0 + 8 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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