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Simplifying x + -2[x + -3(x + -4)] = 4x + -3[x + -2(x + -1)] Reorder the terms: x + -2[x + -3(-4 + x)] = 4x + -3[x + -2(x + -1)] x + -2[x + (-4 * -3 + x * -3)] = 4x + -3[x + -2(x + -1)] x + -2[x + (12 + -3x)] = 4x + -3[x + -2(x + -1)] Reorder the terms: x + -2[12 + x + -3x] = 4x + -3[x + -2(x + -1)] Combine like terms: x + -3x = -2x x + -2[12 + -2x] = 4x + -3[x + -2(x + -1)] x + [12 * -2 + -2x * -2] = 4x + -3[x + -2(x + -1)] x + [-24 + 4x] = 4x + -3[x + -2(x + -1)] Reorder the terms: -24 + x + 4x = 4x + -3[x + -2(x + -1)] Combine like terms: x + 4x = 5x -24 + 5x = 4x + -3[x + -2(x + -1)] Reorder the terms: -24 + 5x = 4x + -3[x + -2(-1 + x)] -24 + 5x = 4x + -3[x + (-1 * -2 + x * -2)] -24 + 5x = 4x + -3[x + (2 + -2x)] Reorder the terms: -24 + 5x = 4x + -3[2 + x + -2x] Combine like terms: x + -2x = -1x -24 + 5x = 4x + -3[2 + -1x] -24 + 5x = 4x + [2 * -3 + -1x * -3] -24 + 5x = 4x + [-6 + 3x] Reorder the terms: -24 + 5x = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x -24 + 5x = -6 + 7x Solving -24 + 5x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = -6 + 0 -24 + -2x = -6 Add '24' to each side of the equation. -24 + 24 + -2x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -6 + 24 -2x = -6 + 24 Combine like terms: -6 + 24 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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