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Simplifying 3x + -43 = -4(x + 9) Reorder the terms: -43 + 3x = -4(x + 9) Reorder the terms: -43 + 3x = -4(9 + x) -43 + 3x = (9 * -4 + x * -4) -43 + 3x = (-36 + -4x) Solving -43 + 3x = -36 + -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. -43 + 3x + 4x = -36 + -4x + 4x Combine like terms: 3x + 4x = 7x -43 + 7x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 -43 + 7x = -36 + 0 -43 + 7x = -36 Add '43' to each side of the equation. -43 + 43 + 7x = -36 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = -36 + 43 7x = -36 + 43 Combine like terms: -36 + 43 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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