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Simplifying 4[2x + -1] = -2[3x + 16] Reorder the terms: 4[-1 + 2x] = -2[3x + 16] [-1 * 4 + 2x * 4] = -2[3x + 16] [-4 + 8x] = -2[3x + 16] Reorder the terms: -4 + 8x = -2[16 + 3x] -4 + 8x = [16 * -2 + 3x * -2] -4 + 8x = [-32 + -6x] Solving -4 + 8x = -32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 8x + 6x = -32 + -6x + 6x Combine like terms: 8x + 6x = 14x -4 + 14x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = -32 + 0 -4 + 14x = -32 Add '4' to each side of the equation. -4 + 4 + 14x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -32 + 4 14x = -32 + 4 Combine like terms: -32 + 4 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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