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Simplifying 5(x + -1) + -7x = 7 + 3(3x + -1) Reorder the terms: 5(-1 + x) + -7x = 7 + 3(3x + -1) (-1 * 5 + x * 5) + -7x = 7 + 3(3x + -1) (-5 + 5x) + -7x = 7 + 3(3x + -1) Combine like terms: 5x + -7x = -2x -5 + -2x = 7 + 3(3x + -1) Reorder the terms: -5 + -2x = 7 + 3(-1 + 3x) -5 + -2x = 7 + (-1 * 3 + 3x * 3) -5 + -2x = 7 + (-3 + 9x) Combine like terms: 7 + -3 = 4 -5 + -2x = 4 + 9x Solving -5 + -2x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + -2x + -9x = 4 + 9x + -9x Combine like terms: -2x + -9x = -11x -5 + -11x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -11x = 4 + 0 -5 + -11x = 4 Add '5' to each side of the equation. -5 + 5 + -11x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 4 + 5 -11x = 4 + 5 Combine like terms: 4 + 5 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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