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Simplifying 7(2x + -1) = 5(x + -14) Reorder the terms: 7(-1 + 2x) = 5(x + -14) (-1 * 7 + 2x * 7) = 5(x + -14) (-7 + 14x) = 5(x + -14) Reorder the terms: -7 + 14x = 5(-14 + x) -7 + 14x = (-14 * 5 + x * 5) -7 + 14x = (-70 + 5x) Solving -7 + 14x = -70 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 14x + -5x = -70 + 5x + -5x Combine like terms: 14x + -5x = 9x -7 + 9x = -70 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 9x = -70 + 0 -7 + 9x = -70 Add '7' to each side of the equation. -7 + 7 + 9x = -70 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = -70 + 7 9x = -70 + 7 Combine like terms: -70 + 7 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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