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Simplifying 5x + -7(x + -1) = 3(-2 + 3x) Reorder the terms: 5x + -7(-1 + x) = 3(-2 + 3x) 5x + (-1 * -7 + x * -7) = 3(-2 + 3x) 5x + (7 + -7x) = 3(-2 + 3x) Reorder the terms: 7 + 5x + -7x = 3(-2 + 3x) Combine like terms: 5x + -7x = -2x 7 + -2x = 3(-2 + 3x) 7 + -2x = (-2 * 3 + 3x * 3) 7 + -2x = (-6 + 9x) Solving 7 + -2x = -6 + 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. 7 + -2x + -9x = -6 + 9x + -9x Combine like terms: -2x + -9x = -11x 7 + -11x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -11x = -6 + 0 7 + -11x = -6 Add '-7' to each side of the equation. 7 + -7 + -11x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -6 + -7 -11x = -6 + -7 Combine like terms: -6 + -7 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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