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Simplifying -32 = -5x + 7(x + -6) Reorder the terms: -32 = -5x + 7(-6 + x) -32 = -5x + (-6 * 7 + x * 7) -32 = -5x + (-42 + 7x) Reorder the terms: -32 = -42 + -5x + 7x Combine like terms: -5x + 7x = 2x -32 = -42 + 2x Solving -32 = -42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + -2x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -2x = -42 + 0 -32 + -2x = -42 Add '32' to each side of the equation. -32 + 32 + -2x = -42 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -42 + 32 -2x = -42 + 32 Combine like terms: -42 + 32 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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