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Simplifying 7(2x + -1) + -5(x + 6) = -10 Reorder the terms: 7(-1 + 2x) + -5(x + 6) = -10 (-1 * 7 + 2x * 7) + -5(x + 6) = -10 (-7 + 14x) + -5(x + 6) = -10 Reorder the terms: -7 + 14x + -5(6 + x) = -10 -7 + 14x + (6 * -5 + x * -5) = -10 -7 + 14x + (-30 + -5x) = -10 Reorder the terms: -7 + -30 + 14x + -5x = -10 Combine like terms: -7 + -30 = -37 -37 + 14x + -5x = -10 Combine like terms: 14x + -5x = 9x -37 + 9x = -10 Solving -37 + 9x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 9x = -10 + 37 Combine like terms: -37 + 37 = 0 0 + 9x = -10 + 37 9x = -10 + 37 Combine like terms: -10 + 37 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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