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Simplifying 8x + -3(x + 4) = 4[x + 2(3 + -1x)] Reorder the terms: 8x + -3(4 + x) = 4[x + 2(3 + -1x)] 8x + (4 * -3 + x * -3) = 4[x + 2(3 + -1x)] 8x + (-12 + -3x) = 4[x + 2(3 + -1x)] Reorder the terms: -12 + 8x + -3x = 4[x + 2(3 + -1x)] Combine like terms: 8x + -3x = 5x -12 + 5x = 4[x + 2(3 + -1x)] -12 + 5x = 4[x + (3 * 2 + -1x * 2)] -12 + 5x = 4[x + (6 + -2x)] Reorder the terms: -12 + 5x = 4[6 + x + -2x] Combine like terms: x + -2x = -1x -12 + 5x = 4[6 + -1x] -12 + 5x = [6 * 4 + -1x * 4] -12 + 5x = [24 + -4x] Solving -12 + 5x = 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. -12 + 5x + 4x = 24 + -4x + 4x Combine like terms: 5x + 4x = 9x -12 + 9x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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