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Simplifying (3x + -4) + -1(x + 3) = -47 Reorder the terms: (-4 + 3x) + -1(x + 3) = -47 Remove parenthesis around (-4 + 3x) -4 + 3x + -1(x + 3) = -47 Reorder the terms: -4 + 3x + -1(3 + x) = -47 -4 + 3x + (3 * -1 + x * -1) = -47 -4 + 3x + (-3 + -1x) = -47 Reorder the terms: -4 + -3 + 3x + -1x = -47 Combine like terms: -4 + -3 = -7 -7 + 3x + -1x = -47 Combine like terms: 3x + -1x = 2x -7 + 2x = -47 Solving -7 + 2x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -47 + 7 2x = -47 + 7 Combine like terms: -47 + 7 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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