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Simplifying -69 = 3x + 2(5x + -2) Reorder the terms: -69 = 3x + 2(-2 + 5x) -69 = 3x + (-2 * 2 + 5x * 2) -69 = 3x + (-4 + 10x) Reorder the terms: -69 = -4 + 3x + 10x Combine like terms: 3x + 10x = 13x -69 = -4 + 13x Solving -69 = -4 + 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. -69 + -13x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -69 + -13x = -4 + 0 -69 + -13x = -4 Add '69' to each side of the equation. -69 + 69 + -13x = -4 + 69 Combine like terms: -69 + 69 = 0 0 + -13x = -4 + 69 -13x = -4 + 69 Combine like terms: -4 + 69 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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