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Simplifying 5x + -1(9x + 7) = 2x + -31 Reorder the terms: 5x + -1(7 + 9x) = 2x + -31 5x + (7 * -1 + 9x * -1) = 2x + -31 5x + (-7 + -9x) = 2x + -31 Reorder the terms: -7 + 5x + -9x = 2x + -31 Combine like terms: 5x + -9x = -4x -7 + -4x = 2x + -31 Reorder the terms: -7 + -4x = -31 + 2x Solving -7 + -4x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -4x + -2x = -31 + 2x + -2x Combine like terms: -4x + -2x = -6x -7 + -6x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -6x = -31 + 0 -7 + -6x = -31 Add '7' to each side of the equation. -7 + 7 + -6x = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -31 + 7 -6x = -31 + 7 Combine like terms: -31 + 7 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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