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Simplifying 19x + -17(3x + -72) = -13 + (13x + 83) Reorder the terms: 19x + -17(-72 + 3x) = -13 + (13x + 83) 19x + (-72 * -17 + 3x * -17) = -13 + (13x + 83) 19x + (1224 + -51x) = -13 + (13x + 83) Reorder the terms: 1224 + 19x + -51x = -13 + (13x + 83) Combine like terms: 19x + -51x = -32x 1224 + -32x = -13 + (13x + 83) Reorder the terms: 1224 + -32x = -13 + (83 + 13x) Remove parenthesis around (83 + 13x) 1224 + -32x = -13 + 83 + 13x Combine like terms: -13 + 83 = 70 1224 + -32x = 70 + 13x Solving 1224 + -32x = 70 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 1224 + -32x + -13x = 70 + 13x + -13x Combine like terms: -32x + -13x = -45x 1224 + -45x = 70 + 13x + -13x Combine like terms: 13x + -13x = 0 1224 + -45x = 70 + 0 1224 + -45x = 70 Add '-1224' to each side of the equation. 1224 + -1224 + -45x = 70 + -1224 Combine like terms: 1224 + -1224 = 0 0 + -45x = 70 + -1224 -45x = 70 + -1224 Combine like terms: 70 + -1224 = -1154 -45x = -1154 Divide each side by '-45'. x = 25.64444444 Simplifying x = 25.64444444
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