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Simplifying -6(x + 3) + -43 = 7 + -38 Reorder the terms: -6(3 + x) + -43 = 7 + -38 (3 * -6 + x * -6) + -43 = 7 + -38 (-18 + -6x) + -43 = 7 + -38 Reorder the terms: -18 + -43 + -6x = 7 + -38 Combine like terms: -18 + -43 = -61 -61 + -6x = 7 + -38 Combine like terms: 7 + -38 = -31 -61 + -6x = -31 Solving -61 + -6x = -31 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 = -31 + 61 Combine like terms: -61 + 61 = 0 0 + -6x = -31 + 61 -6x = -31 + 61 Combine like terms: -31 + 61 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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