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Simplifying 2x + -1(3x + 2) + (5x + -7) = 9x + -10 Reorder the terms: 2x + -1(2 + 3x) + (5x + -7) = 9x + -10 2x + (2 * -1 + 3x * -1) + (5x + -7) = 9x + -10 2x + (-2 + -3x) + (5x + -7) = 9x + -10 Reorder the terms: 2x + -2 + -3x + (-7 + 5x) = 9x + -10 Remove parenthesis around (-7 + 5x) 2x + -2 + -3x + -7 + 5x = 9x + -10 Reorder the terms: -2 + -7 + 2x + -3x + 5x = 9x + -10 Combine like terms: -2 + -7 = -9 -9 + 2x + -3x + 5x = 9x + -10 Combine like terms: 2x + -3x = -1x -9 + -1x + 5x = 9x + -10 Combine like terms: -1x + 5x = 4x -9 + 4x = 9x + -10 Reorder the terms: -9 + 4x = -10 + 9x Solving -9 + 4x = -10 + 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. -9 + 4x + -9x = -10 + 9x + -9x Combine like terms: 4x + -9x = -5x -9 + -5x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -5x = -10 + 0 -9 + -5x = -10 Add '9' to each side of the equation. -9 + 9 + -5x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -10 + 9 -5x = -10 + 9 Combine like terms: -10 + 9 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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