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Simplifying 7(2x + -1) = 3(x + 5) Reorder the terms: 7(-1 + 2x) = 3(x + 5) (-1 * 7 + 2x * 7) = 3(x + 5) (-7 + 14x) = 3(x + 5) Reorder the terms: -7 + 14x = 3(5 + x) -7 + 14x = (5 * 3 + x * 3) -7 + 14x = (15 + 3x) Solving -7 + 14x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 14x + -3x = 15 + 3x + -3x Combine like terms: 14x + -3x = 11x -7 + 11x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 11x = 15 + 0 -7 + 11x = 15 Add '7' to each side of the equation. -7 + 7 + 11x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 15 + 7 11x = 15 + 7 Combine like terms: 15 + 7 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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