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Simplifying -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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