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Simplifying 9x + -1(4x + -13) = (-1)(x + -18) Reorder the terms: 9x + -1(-13 + 4x) = (-1)(x + -18) 9x + (-13 * -1 + 4x * -1) = (-1)(x + -18) 9x + (13 + -4x) = (-1)(x + -18) Reorder the terms: 13 + 9x + -4x = (-1)(x + -18) Combine like terms: 9x + -4x = 5x 13 + 5x = (-1)(x + -18) Reorder the terms: 13 + 5x = -1(-18 + x) 13 + 5x = (-18 * -1 + x * -1) 13 + 5x = (18 + -1x) Solving 13 + 5x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + 5x + x = 18 + -1x + x Combine like terms: 5x + x = 6x 13 + 6x = 18 + -1x + x Combine like terms: -1x + x = 0 13 + 6x = 18 + 0 13 + 6x = 18 Add '-13' to each side of the equation. 13 + -13 + 6x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 18 + -13 6x = 18 + -13 Combine like terms: 18 + -13 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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