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Simplifying 5 + -7(2x + 4) = 3 + -5(x + -1) Reorder the terms: 5 + -7(4 + 2x) = 3 + -5(x + -1) 5 + (4 * -7 + 2x * -7) = 3 + -5(x + -1) 5 + (-28 + -14x) = 3 + -5(x + -1) Combine like terms: 5 + -28 = -23 -23 + -14x = 3 + -5(x + -1) Reorder the terms: -23 + -14x = 3 + -5(-1 + x) -23 + -14x = 3 + (-1 * -5 + x * -5) -23 + -14x = 3 + (5 + -5x) Combine like terms: 3 + 5 = 8 -23 + -14x = 8 + -5x Solving -23 + -14x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -23 + -14x + 5x = 8 + -5x + 5x Combine like terms: -14x + 5x = -9x -23 + -9x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + -9x = 8 + 0 -23 + -9x = 8 Add '23' to each side of the equation. -23 + 23 + -9x = 8 + 23 Combine like terms: -23 + 23 = 0 0 + -9x = 8 + 23 -9x = 8 + 23 Combine like terms: 8 + 23 = 31 -9x = 31 Divide each side by '-9'. x = -3.444444444 Simplifying x = -3.444444444
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