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Simplifying -4x = 32 + -7(x + 2) Reorder the terms: -4x = 32 + -7(2 + x) -4x = 32 + (2 * -7 + x * -7) -4x = 32 + (-14 + -7x) Combine like terms: 32 + -14 = 18 -4x = 18 + -7x Solving -4x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4x + 7x = 18 + -7x + 7x Combine like terms: -4x + 7x = 3x 3x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 3x = 18 + 0 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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