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Simplifying -4(x + 5) + -43 = 7 + -38 Reorder the terms: -4(5 + x) + -43 = 7 + -38 (5 * -4 + x * -4) + -43 = 7 + -38 (-20 + -4x) + -43 = 7 + -38 Reorder the terms: -20 + -43 + -4x = 7 + -38 Combine like terms: -20 + -43 = -63 -63 + -4x = 7 + -38 Combine like terms: 7 + -38 = -31 -63 + -4x = -31 Solving -63 + -4x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -4x = -31 + 63 Combine like terms: -63 + 63 = 0 0 + -4x = -31 + 63 -4x = -31 + 63 Combine like terms: -31 + 63 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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