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Simplifying -172 = 5x + 7(x + -4) Reorder the terms: -172 = 5x + 7(-4 + x) -172 = 5x + (-4 * 7 + x * 7) -172 = 5x + (-28 + 7x) Reorder the terms: -172 = -28 + 5x + 7x Combine like terms: 5x + 7x = 12x -172 = -28 + 12x Solving -172 = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -172 + -12x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -172 + -12x = -28 + 0 -172 + -12x = -28 Add '172' to each side of the equation. -172 + 172 + -12x = -28 + 172 Combine like terms: -172 + 172 = 0 0 + -12x = -28 + 172 -12x = -28 + 172 Combine like terms: -28 + 172 = 144 -12x = 144 Divide each side by '-12'. x = -12 Simplifying x = -12
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