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Simplifying 7(2x + -1) + -2(3 + -5x) = 11 Reorder the terms: 7(-1 + 2x) + -2(3 + -5x) = 11 (-1 * 7 + 2x * 7) + -2(3 + -5x) = 11 (-7 + 14x) + -2(3 + -5x) = 11 -7 + 14x + (3 * -2 + -5x * -2) = 11 -7 + 14x + (-6 + 10x) = 11 Reorder the terms: -7 + -6 + 14x + 10x = 11 Combine like terms: -7 + -6 = -13 -13 + 14x + 10x = 11 Combine like terms: 14x + 10x = 24x -13 + 24x = 11 Solving -13 + 24x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 24x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 24x = 11 + 13 24x = 11 + 13 Combine like terms: 11 + 13 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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