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Simplifying 7 + -1(7x + 2) = -4x + -43 Reorder the terms: 7 + -1(2 + 7x) = -4x + -43 7 + (2 * -1 + 7x * -1) = -4x + -43 7 + (-2 + -7x) = -4x + -43 Combine like terms: 7 + -2 = 5 5 + -7x = -4x + -43 Reorder the terms: 5 + -7x = -43 + -4x Solving 5 + -7x = -43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + -7x + 4x = -43 + -4x + 4x Combine like terms: -7x + 4x = -3x 5 + -3x = -43 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -3x = -43 + 0 5 + -3x = -43 Add '-5' to each side of the equation. 5 + -5 + -3x = -43 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -43 + -5 -3x = -43 + -5 Combine like terms: -43 + -5 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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