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Simplifying -3(x + 6) + -43 = 7 + -47 Reorder the terms: -3(6 + x) + -43 = 7 + -47 (6 * -3 + x * -3) + -43 = 7 + -47 (-18 + -3x) + -43 = 7 + -47 Reorder the terms: -18 + -43 + -3x = 7 + -47 Combine like terms: -18 + -43 = -61 -61 + -3x = 7 + -47 Combine like terms: 7 + -47 = -40 -61 + -3x = -40 Solving -61 + -3x = -40 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 = -40 + 61 Combine like terms: -61 + 61 = 0 0 + -3x = -40 + 61 -3x = -40 + 61 Combine like terms: -40 + 61 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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