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Simplifying 2[x + -1(4x + 12) + 6] = 2(x + 6) Reorder the terms: 2[x + -1(12 + 4x) + 6] = 2(x + 6) 2[x + (12 * -1 + 4x * -1) + 6] = 2(x + 6) 2[x + (-12 + -4x) + 6] = 2(x + 6) Reorder the terms: 2[-12 + 6 + x + -4x] = 2(x + 6) Combine like terms: -12 + 6 = -6 2[-6 + x + -4x] = 2(x + 6) Combine like terms: x + -4x = -3x 2[-6 + -3x] = 2(x + 6) [-6 * 2 + -3x * 2] = 2(x + 6) [-12 + -6x] = 2(x + 6) Reorder the terms: -12 + -6x = 2(6 + x) -12 + -6x = (6 * 2 + x * 2) -12 + -6x = (12 + 2x) Solving -12 + -6x = 12 + 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. -12 + -6x + -2x = 12 + 2x + -2x Combine like terms: -6x + -2x = -8x -12 + -8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -8x = 12 + 0 -12 + -8x = 12 Add '12' to each side of the equation. -12 + 12 + -8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 12 + 12 -8x = 12 + 12 Combine like terms: 12 + 12 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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