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Simplifying -4(x + 3) + -43 = 5 + -28 Reorder the terms: -4(3 + x) + -43 = 5 + -28 (3 * -4 + x * -4) + -43 = 5 + -28 (-12 + -4x) + -43 = 5 + -28 Reorder the terms: -12 + -43 + -4x = 5 + -28 Combine like terms: -12 + -43 = -55 -55 + -4x = 5 + -28 Combine like terms: 5 + -28 = -23 -55 + -4x = -23 Solving -55 + -4x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -4x = -23 + 55 Combine like terms: -55 + 55 = 0 0 + -4x = -23 + 55 -4x = -23 + 55 Combine like terms: -23 + 55 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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