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Simplifying (7x + -43) = (147 + -3x) Reorder the terms: (-43 + 7x) = (147 + -3x) Remove parenthesis around (-43 + 7x) -43 + 7x = (147 + -3x) Remove parenthesis around (147 + -3x) -43 + 7x = 147 + -3x Solving -43 + 7x = 147 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -43 + 7x + 3x = 147 + -3x + 3x Combine like terms: 7x + 3x = 10x -43 + 10x = 147 + -3x + 3x Combine like terms: -3x + 3x = 0 -43 + 10x = 147 + 0 -43 + 10x = 147 Add '43' to each side of the equation. -43 + 43 + 10x = 147 + 43 Combine like terms: -43 + 43 = 0 0 + 10x = 147 + 43 10x = 147 + 43 Combine like terms: 147 + 43 = 190 10x = 190 Divide each side by '10'. x = 19 Simplifying x = 19
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