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Simplifying 9 + -3x + -2(x + 5) = 4x + 7 + -1x Reorder the terms: 9 + -3x + -2(5 + x) = 4x + 7 + -1x 9 + -3x + (5 * -2 + x * -2) = 4x + 7 + -1x 9 + -3x + (-10 + -2x) = 4x + 7 + -1x Reorder the terms: 9 + -10 + -3x + -2x = 4x + 7 + -1x Combine like terms: 9 + -10 = -1 -1 + -3x + -2x = 4x + 7 + -1x Combine like terms: -3x + -2x = -5x -1 + -5x = 4x + 7 + -1x Reorder the terms: -1 + -5x = 7 + 4x + -1x Combine like terms: 4x + -1x = 3x -1 + -5x = 7 + 3x Solving -1 + -5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -5x + -3x = 7 + 3x + -3x Combine like terms: -5x + -3x = -8x -1 + -8x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -8x = 7 + 0 -1 + -8x = 7 Add '1' to each side of the equation. -1 + 1 + -8x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 7 + 1 -8x = 7 + 1 Combine like terms: 7 + 1 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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