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Simplifying -69 = -3(-1x + 3) + 3(x + -6) Reorder the terms: -69 = -3(3 + -1x) + 3(x + -6) -69 = (3 * -3 + -1x * -3) + 3(x + -6) -69 = (-9 + 3x) + 3(x + -6) Reorder the terms: -69 = -9 + 3x + 3(-6 + x) -69 = -9 + 3x + (-6 * 3 + x * 3) -69 = -9 + 3x + (-18 + 3x) Reorder the terms: -69 = -9 + -18 + 3x + 3x Combine like terms: -9 + -18 = -27 -69 = -27 + 3x + 3x Combine like terms: 3x + 3x = 6x -69 = -27 + 6x Solving -69 = -27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -69 + -6x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -69 + -6x = -27 + 0 -69 + -6x = -27 Add '69' to each side of the equation. -69 + 69 + -6x = -27 + 69 Combine like terms: -69 + 69 = 0 0 + -6x = -27 + 69 -6x = -27 + 69 Combine like terms: -27 + 69 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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