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Simplifying -172 = 3x + -5(-2x + 11) Reorder the terms: -172 = 3x + -5(11 + -2x) -172 = 3x + (11 * -5 + -2x * -5) -172 = 3x + (-55 + 10x) Reorder the terms: -172 = -55 + 3x + 10x Combine like terms: 3x + 10x = 13x -172 = -55 + 13x Solving -172 = -55 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -172 + -13x = -55 + 13x + -13x Combine like terms: 13x + -13x = 0 -172 + -13x = -55 + 0 -172 + -13x = -55 Add '172' to each side of the equation. -172 + 172 + -13x = -55 + 172 Combine like terms: -172 + 172 = 0 0 + -13x = -55 + 172 -13x = -55 + 172 Combine like terms: -55 + 172 = 117 -13x = 117 Divide each side by '-13'. x = -9 Simplifying x = -9
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