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Simplifying -43 = 7x + -4(-3x + -13) Reorder the terms: -43 = 7x + -4(-13 + -3x) -43 = 7x + (-13 * -4 + -3x * -4) -43 = 7x + (52 + 12x) Reorder the terms: -43 = 52 + 7x + 12x Combine like terms: 7x + 12x = 19x -43 = 52 + 19x Solving -43 = 52 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -43 + -19x = 52 + 19x + -19x Combine like terms: 19x + -19x = 0 -43 + -19x = 52 + 0 -43 + -19x = 52 Add '43' to each side of the equation. -43 + 43 + -19x = 52 + 43 Combine like terms: -43 + 43 = 0 0 + -19x = 52 + 43 -19x = 52 + 43 Combine like terms: 52 + 43 = 95 -19x = 95 Divide each side by '-19'. x = -5 Simplifying x = -5
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