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Simplifying 19x + -17 = 3(4x + -13) Reorder the terms: -17 + 19x = 3(4x + -13) Reorder the terms: -17 + 19x = 3(-13 + 4x) -17 + 19x = (-13 * 3 + 4x * 3) -17 + 19x = (-39 + 12x) Solving -17 + 19x = -39 + 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. -17 + 19x + -12x = -39 + 12x + -12x Combine like terms: 19x + -12x = 7x -17 + 7x = -39 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + 7x = -39 + 0 -17 + 7x = -39 Add '17' to each side of the equation. -17 + 17 + 7x = -39 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -39 + 17 7x = -39 + 17 Combine like terms: -39 + 17 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143
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