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Simplifying 5(x + -9) + 2(14 + -1x) = x + 1 Reorder the terms: 5(-9 + x) + 2(14 + -1x) = x + 1 (-9 * 5 + x * 5) + 2(14 + -1x) = x + 1 (-45 + 5x) + 2(14 + -1x) = x + 1 -45 + 5x + (14 * 2 + -1x * 2) = x + 1 -45 + 5x + (28 + -2x) = x + 1 Reorder the terms: -45 + 28 + 5x + -2x = x + 1 Combine like terms: -45 + 28 = -17 -17 + 5x + -2x = x + 1 Combine like terms: 5x + -2x = 3x -17 + 3x = x + 1 Reorder the terms: -17 + 3x = 1 + x Solving -17 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -17 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -17 + 2x = 1 + 0 -17 + 2x = 1 Add '17' to each side of the equation. -17 + 17 + 2x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 1 + 17 2x = 1 + 17 Combine like terms: 1 + 17 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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