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Simplifying -7x + 5x = -3(1 + 3x) + -2(3 + x) Combine like terms: -7x + 5x = -2x -2x = -3(1 + 3x) + -2(3 + x) -2x = (1 * -3 + 3x * -3) + -2(3 + x) -2x = (-3 + -9x) + -2(3 + x) -2x = -3 + -9x + (3 * -2 + x * -2) -2x = -3 + -9x + (-6 + -2x) Reorder the terms: -2x = -3 + -6 + -9x + -2x Combine like terms: -3 + -6 = -9 -2x = -9 + -9x + -2x Combine like terms: -9x + -2x = -11x -2x = -9 + -11x Solving -2x = -9 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -2x + 11x = -9 + -11x + 11x Combine like terms: -2x + 11x = 9x 9x = -9 + -11x + 11x Combine like terms: -11x + 11x = 0 9x = -9 + 0 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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