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Simplifying 6(14x + -3) + -13(7x + -2) = 1 Reorder the terms: 6(-3 + 14x) + -13(7x + -2) = 1 (-3 * 6 + 14x * 6) + -13(7x + -2) = 1 (-18 + 84x) + -13(7x + -2) = 1 Reorder the terms: -18 + 84x + -13(-2 + 7x) = 1 -18 + 84x + (-2 * -13 + 7x * -13) = 1 -18 + 84x + (26 + -91x) = 1 Reorder the terms: -18 + 26 + 84x + -91x = 1 Combine like terms: -18 + 26 = 8 8 + 84x + -91x = 1 Combine like terms: 84x + -91x = -7x 8 + -7x = 1 Solving 8 + -7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 1 + -8 -7x = 1 + -8 Combine like terms: 1 + -8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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