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Simplifying 3(x + -7) + -5x + 10 = 31 Reorder the terms: 3(-7 + x) + -5x + 10 = 31 (-7 * 3 + x * 3) + -5x + 10 = 31 (-21 + 3x) + -5x + 10 = 31 Reorder the terms: -21 + 10 + 3x + -5x = 31 Combine like terms: -21 + 10 = -11 -11 + 3x + -5x = 31 Combine like terms: 3x + -5x = -2x -11 + -2x = 31 Solving -11 + -2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 31 + 11 -2x = 31 + 11 Combine like terms: 31 + 11 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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