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Simplifying 2(-2x + -3) + -1 = 5x + -7 + -9 Reorder the terms: 2(-3 + -2x) + -1 = 5x + -7 + -9 (-3 * 2 + -2x * 2) + -1 = 5x + -7 + -9 (-6 + -4x) + -1 = 5x + -7 + -9 Reorder the terms: -6 + -1 + -4x = 5x + -7 + -9 Combine like terms: -6 + -1 = -7 -7 + -4x = 5x + -7 + -9 Reorder the terms: -7 + -4x = -7 + -9 + 5x Combine like terms: -7 + -9 = -16 -7 + -4x = -16 + 5x Solving -7 + -4x = -16 + 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. -7 + -4x + -5x = -16 + 5x + -5x Combine like terms: -4x + -5x = -9x -7 + -9x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -9x = -16 + 0 -7 + -9x = -16 Add '7' to each side of the equation. -7 + 7 + -9x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -16 + 7 -9x = -16 + 7 Combine like terms: -16 + 7 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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