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Simplifying -3(x + 6) + -43 = 1 + -47 Reorder the terms: -3(6 + x) + -43 = 1 + -47 (6 * -3 + x * -3) + -43 = 1 + -47 (-18 + -3x) + -43 = 1 + -47 Reorder the terms: -18 + -43 + -3x = 1 + -47 Combine like terms: -18 + -43 = -61 -61 + -3x = 1 + -47 Combine like terms: 1 + -47 = -46 -61 + -3x = -46 Solving -61 + -3x = -46 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 + -3x = -46 + 61 Combine like terms: -61 + 61 = 0 0 + -3x = -46 + 61 -3x = -46 + 61 Combine like terms: -46 + 61 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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