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Simplifying -69 = 6x + 7(-2x + -3) Reorder the terms: -69 = 6x + 7(-3 + -2x) -69 = 6x + (-3 * 7 + -2x * 7) -69 = 6x + (-21 + -14x) Reorder the terms: -69 = -21 + 6x + -14x Combine like terms: 6x + -14x = -8x -69 = -21 + -8x Solving -69 = -21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -69 + 8x = -21 + -8x + 8x Combine like terms: -8x + 8x = 0 -69 + 8x = -21 + 0 -69 + 8x = -21 Add '69' to each side of the equation. -69 + 69 + 8x = -21 + 69 Combine like terms: -69 + 69 = 0 0 + 8x = -21 + 69 8x = -21 + 69 Combine like terms: -21 + 69 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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