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Simplifying 2(x + -7) + -5(x + 1) = -7 Reorder the terms: 2(-7 + x) + -5(x + 1) = -7 (-7 * 2 + x * 2) + -5(x + 1) = -7 (-14 + 2x) + -5(x + 1) = -7 Reorder the terms: -14 + 2x + -5(1 + x) = -7 -14 + 2x + (1 * -5 + x * -5) = -7 -14 + 2x + (-5 + -5x) = -7 Reorder the terms: -14 + -5 + 2x + -5x = -7 Combine like terms: -14 + -5 = -19 -19 + 2x + -5x = -7 Combine like terms: 2x + -5x = -3x -19 + -3x = -7 Solving -19 + -3x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3x = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = -7 + 19 -3x = -7 + 19 Combine like terms: -7 + 19 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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