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Simplifying 2[x + -2(x + 1) + x + 3(x + -2)] = -4(x + -6) Reorder the terms: 2[x + -2(1 + x) + x + 3(x + -2)] = -4(x + -6) 2[x + (1 * -2 + x * -2) + x + 3(x + -2)] = -4(x + -6) 2[x + (-2 + -2x) + x + 3(x + -2)] = -4(x + -6) Reorder the terms: 2[x + -2 + -2x + x + 3(-2 + x)] = -4(x + -6) 2[x + -2 + -2x + x + (-2 * 3 + x * 3)] = -4(x + -6) 2[x + -2 + -2x + x + (-6 + 3x)] = -4(x + -6) Reorder the terms: 2[-2 + -6 + x + -2x + x + 3x] = -4(x + -6) Combine like terms: -2 + -6 = -8 2[-8 + x + -2x + x + 3x] = -4(x + -6) Combine like terms: x + -2x = -1x 2[-8 + -1x + x + 3x] = -4(x + -6) Combine like terms: -1x + x = 0 2[-8 + 0 + 3x] = -4(x + -6) 2[-8 + 3x] = -4(x + -6) [-8 * 2 + 3x * 2] = -4(x + -6) [-16 + 6x] = -4(x + -6) Reorder the terms: -16 + 6x = -4(-6 + x) -16 + 6x = (-6 * -4 + x * -4) -16 + 6x = (24 + -4x) Solving -16 + 6x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16 + 6x + 4x = 24 + -4x + 4x Combine like terms: 6x + 4x = 10x -16 + 10x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 10x = 24 + 0 -16 + 10x = 24 Add '16' to each side of the equation. -16 + 16 + 10x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 24 + 16 10x = 24 + 16 Combine like terms: 24 + 16 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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