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Simplifying 32 + 6x = -2(x + -4) + -4x Reorder the terms: 32 + 6x = -2(-4 + x) + -4x 32 + 6x = (-4 * -2 + x * -2) + -4x 32 + 6x = (8 + -2x) + -4x Combine like terms: -2x + -4x = -6x 32 + 6x = 8 + -6x Solving 32 + 6x = 8 + -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. 32 + 6x + 6x = 8 + -6x + 6x Combine like terms: 6x + 6x = 12x 32 + 12x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + 12x = 8 + 0 32 + 12x = 8 Add '-32' to each side of the equation. 32 + -32 + 12x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = 8 + -32 12x = 8 + -32 Combine like terms: 8 + -32 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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