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Simplifying 19 = -1(3 + -13x) + -6(12 + 10x) 19 = (3 * -1 + -13x * -1) + -6(12 + 10x) 19 = (-3 + 13x) + -6(12 + 10x) 19 = -3 + 13x + (12 * -6 + 10x * -6) 19 = -3 + 13x + (-72 + -60x) Reorder the terms: 19 = -3 + -72 + 13x + -60x Combine like terms: -3 + -72 = -75 19 = -75 + 13x + -60x Combine like terms: 13x + -60x = -47x 19 = -75 + -47x Solving 19 = -75 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. 19 + 47x = -75 + -47x + 47x Combine like terms: -47x + 47x = 0 19 + 47x = -75 + 0 19 + 47x = -75 Add '-19' to each side of the equation. 19 + -19 + 47x = -75 + -19 Combine like terms: 19 + -19 = 0 0 + 47x = -75 + -19 47x = -75 + -19 Combine like terms: -75 + -19 = -94 47x = -94 Divide each side by '47'. x = -2 Simplifying x = -2
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