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Simplifying 2[x + -1(4x + 20) + 12] = 2(x + 8) Reorder the terms: 2[x + -1(20 + 4x) + 12] = 2(x + 8) 2[x + (20 * -1 + 4x * -1) + 12] = 2(x + 8) 2[x + (-20 + -4x) + 12] = 2(x + 8) Reorder the terms: 2[-20 + 12 + x + -4x] = 2(x + 8) Combine like terms: -20 + 12 = -8 2[-8 + x + -4x] = 2(x + 8) Combine like terms: x + -4x = -3x 2[-8 + -3x] = 2(x + 8) [-8 * 2 + -3x * 2] = 2(x + 8) [-16 + -6x] = 2(x + 8) Reorder the terms: -16 + -6x = 2(8 + x) -16 + -6x = (8 * 2 + x * 2) -16 + -6x = (16 + 2x) Solving -16 + -6x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -6x + -2x = 16 + 2x + -2x Combine like terms: -6x + -2x = -8x -16 + -8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -8x = 16 + 0 -16 + -8x = 16 Add '16' to each side of the equation. -16 + 16 + -8x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 16 + 16 -8x = 16 + 16 Combine like terms: 16 + 16 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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