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Simplifying -3(x + 4) + -45 = 7 + -43 Reorder the terms: -3(4 + x) + -45 = 7 + -43 (4 * -3 + x * -3) + -45 = 7 + -43 (-12 + -3x) + -45 = 7 + -43 Reorder the terms: -12 + -45 + -3x = 7 + -43 Combine like terms: -12 + -45 = -57 -57 + -3x = 7 + -43 Combine like terms: 7 + -43 = -36 -57 + -3x = -36 Solving -57 + -3x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -3x = -36 + 57 Combine like terms: -57 + 57 = 0 0 + -3x = -36 + 57 -3x = -36 + 57 Combine like terms: -36 + 57 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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