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Simplifying -5x + -7 = 2x + -3(5 + -3x) Reorder the terms: -7 + -5x = 2x + -3(5 + -3x) -7 + -5x = 2x + (5 * -3 + -3x * -3) -7 + -5x = 2x + (-15 + 9x) Reorder the terms: -7 + -5x = -15 + 2x + 9x Combine like terms: 2x + 9x = 11x -7 + -5x = -15 + 11x Solving -7 + -5x = -15 + 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. -7 + -5x + -11x = -15 + 11x + -11x Combine like terms: -5x + -11x = -16x -7 + -16x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -16x = -15 + 0 -7 + -16x = -15 Add '7' to each side of the equation. -7 + 7 + -16x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = -15 + 7 -16x = -15 + 7 Combine like terms: -15 + 7 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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