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Simplifying 5(x + -6) + -2(x + 7) = x + 6 Reorder the terms: 5(-6 + x) + -2(x + 7) = x + 6 (-6 * 5 + x * 5) + -2(x + 7) = x + 6 (-30 + 5x) + -2(x + 7) = x + 6 Reorder the terms: -30 + 5x + -2(7 + x) = x + 6 -30 + 5x + (7 * -2 + x * -2) = x + 6 -30 + 5x + (-14 + -2x) = x + 6 Reorder the terms: -30 + -14 + 5x + -2x = x + 6 Combine like terms: -30 + -14 = -44 -44 + 5x + -2x = x + 6 Combine like terms: 5x + -2x = 3x -44 + 3x = x + 6 Reorder the terms: -44 + 3x = 6 + x Solving -44 + 3x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -44 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x -44 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 -44 + 2x = 6 + 0 -44 + 2x = 6 Add '44' to each side of the equation. -44 + 44 + 2x = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 6 + 44 2x = 6 + 44 Combine like terms: 6 + 44 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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