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Simplifying 4(x3 + -8x + -4) = 4x3 + -8(3x + -4) Reorder the terms: 4(-4 + -8x + x3) = 4x3 + -8(3x + -4) (-4 * 4 + -8x * 4 + x3 * 4) = 4x3 + -8(3x + -4) (-16 + -32x + 4x3) = 4x3 + -8(3x + -4) Reorder the terms: -16 + -32x + 4x3 = 4x3 + -8(-4 + 3x) -16 + -32x + 4x3 = 4x3 + (-4 * -8 + 3x * -8) -16 + -32x + 4x3 = 4x3 + (32 + -24x) Reorder the terms: -16 + -32x + 4x3 = 32 + -24x + 4x3 Add '-4x3' to each side of the equation. -16 + -32x + 4x3 + -4x3 = 32 + -24x + 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -16 + -32x + 0 = 32 + -24x + 4x3 + -4x3 -16 + -32x = 32 + -24x + 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -16 + -32x = 32 + -24x + 0 -16 + -32x = 32 + -24x Solving -16 + -32x = 32 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -16 + -32x + 24x = 32 + -24x + 24x Combine like terms: -32x + 24x = -8x -16 + -8x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 -16 + -8x = 32 + 0 -16 + -8x = 32 Add '16' to each side of the equation. -16 + 16 + -8x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 32 + 16 -8x = 32 + 16 Combine like terms: 32 + 16 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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