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Simplifying 5x + 9x + -17 = 4(x + -1) + -34 Reorder the terms: -17 + 5x + 9x = 4(x + -1) + -34 Combine like terms: 5x + 9x = 14x -17 + 14x = 4(x + -1) + -34 Reorder the terms: -17 + 14x = 4(-1 + x) + -34 -17 + 14x = (-1 * 4 + x * 4) + -34 -17 + 14x = (-4 + 4x) + -34 Reorder the terms: -17 + 14x = -4 + -34 + 4x Combine like terms: -4 + -34 = -38 -17 + 14x = -38 + 4x Solving -17 + 14x = -38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 14x + -4x = -38 + 4x + -4x Combine like terms: 14x + -4x = 10x -17 + 10x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 10x = -38 + 0 -17 + 10x = -38 Add '17' to each side of the equation. -17 + 17 + 10x = -38 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = -38 + 17 10x = -38 + 17 Combine like terms: -38 + 17 = -21 10x = -21 Divide each side by '10'. x = -2.1 Simplifying x = -2.1
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