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Simplifying 7(2x + -1) = 1 + -6(x + -2) Reorder the terms: 7(-1 + 2x) = 1 + -6(x + -2) (-1 * 7 + 2x * 7) = 1 + -6(x + -2) (-7 + 14x) = 1 + -6(x + -2) Reorder the terms: -7 + 14x = 1 + -6(-2 + x) -7 + 14x = 1 + (-2 * -6 + x * -6) -7 + 14x = 1 + (12 + -6x) Combine like terms: 1 + 12 = 13 -7 + 14x = 13 + -6x Solving -7 + 14x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 14x + 6x = 13 + -6x + 6x Combine like terms: 14x + 6x = 20x -7 + 20x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 20x = 13 + 0 -7 + 20x = 13 Add '7' to each side of the equation. -7 + 7 + 20x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 13 + 7 20x = 13 + 7 Combine like terms: 13 + 7 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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