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Simplifying 14x + -1(8x + -13) = 12x + 1 Reorder the terms: 14x + -1(-13 + 8x) = 12x + 1 14x + (-13 * -1 + 8x * -1) = 12x + 1 14x + (13 + -8x) = 12x + 1 Reorder the terms: 13 + 14x + -8x = 12x + 1 Combine like terms: 14x + -8x = 6x 13 + 6x = 12x + 1 Reorder the terms: 13 + 6x = 1 + 12x Solving 13 + 6x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + 6x + -12x = 1 + 12x + -12x Combine like terms: 6x + -12x = -6x 13 + -6x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -6x = 1 + 0 13 + -6x = 1 Add '-13' to each side of the equation. 13 + -13 + -6x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 1 + -13 -6x = 1 + -13 Combine like terms: 1 + -13 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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