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Simplifying 19(x + -25) = 6 + -1(9x + 34) Reorder the terms: 19(-25 + x) = 6 + -1(9x + 34) (-25 * 19 + x * 19) = 6 + -1(9x + 34) (-475 + 19x) = 6 + -1(9x + 34) Reorder the terms: -475 + 19x = 6 + -1(34 + 9x) -475 + 19x = 6 + (34 * -1 + 9x * -1) -475 + 19x = 6 + (-34 + -9x) Combine like terms: 6 + -34 = -28 -475 + 19x = -28 + -9x Solving -475 + 19x = -28 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -475 + 19x + 9x = -28 + -9x + 9x Combine like terms: 19x + 9x = 28x -475 + 28x = -28 + -9x + 9x Combine like terms: -9x + 9x = 0 -475 + 28x = -28 + 0 -475 + 28x = -28 Add '475' to each side of the equation. -475 + 475 + 28x = -28 + 475 Combine like terms: -475 + 475 = 0 0 + 28x = -28 + 475 28x = -28 + 475 Combine like terms: -28 + 475 = 447 28x = 447 Divide each side by '28'. x = 15.96428571 Simplifying x = 15.96428571
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