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Simplifying 17 + -1(4 + -12x) = 19x + -1(13x + -19) 17 + (4 * -1 + -12x * -1) = 19x + -1(13x + -19) 17 + (-4 + 12x) = 19x + -1(13x + -19) Combine like terms: 17 + -4 = 13 13 + 12x = 19x + -1(13x + -19) Reorder the terms: 13 + 12x = 19x + -1(-19 + 13x) 13 + 12x = 19x + (-19 * -1 + 13x * -1) 13 + 12x = 19x + (19 + -13x) Reorder the terms: 13 + 12x = 19 + 19x + -13x Combine like terms: 19x + -13x = 6x 13 + 12x = 19 + 6x Solving 13 + 12x = 19 + 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. 13 + 12x + -6x = 19 + 6x + -6x Combine like terms: 12x + -6x = 6x 13 + 6x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 6x = 19 + 0 13 + 6x = 19 Add '-13' to each side of the equation. 13 + -13 + 6x = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 19 + -13 6x = 19 + -13 Combine like terms: 19 + -13 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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