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Simplifying 2x + -32 = -6(x + -4) Reorder the terms: -32 + 2x = -6(x + -4) Reorder the terms: -32 + 2x = -6(-4 + x) -32 + 2x = (-4 * -6 + x * -6) -32 + 2x = (24 + -6x) Solving -32 + 2x = 24 + -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 + 2x + 6x = 24 + -6x + 6x Combine like terms: 2x + 6x = 8x -32 + 8x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 8x = 24 + 0 -32 + 8x = 24 Add '32' to each side of the equation. -32 + 32 + 8x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 24 + 32 8x = 24 + 32 Combine like terms: 24 + 32 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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