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Simplifying 3x + -32 = -7(x + -4) Reorder the terms: -32 + 3x = -7(x + -4) Reorder the terms: -32 + 3x = -7(-4 + x) -32 + 3x = (-4 * -7 + x * -7) -32 + 3x = (28 + -7x) Solving -32 + 3x = 28 + -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. -32 + 3x + 7x = 28 + -7x + 7x Combine like terms: 3x + 7x = 10x -32 + 10x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 10x = 28 + 0 -32 + 10x = 28 Add '32' to each side of the equation. -32 + 32 + 10x = 28 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 28 + 32 10x = 28 + 32 Combine like terms: 28 + 32 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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