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Simplifying -6(x + 3) + -43 = 4 + -17 Reorder the terms: -6(3 + x) + -43 = 4 + -17 (3 * -6 + x * -6) + -43 = 4 + -17 (-18 + -6x) + -43 = 4 + -17 Reorder the terms: -18 + -43 + -6x = 4 + -17 Combine like terms: -18 + -43 = -61 -61 + -6x = 4 + -17 Combine like terms: 4 + -17 = -13 -61 + -6x = -13 Solving -61 + -6x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -6x = -13 + 61 Combine like terms: -61 + 61 = 0 0 + -6x = -13 + 61 -6x = -13 + 61 Combine like terms: -13 + 61 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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