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Simplifying 17x + -33 + 12x + -16 = 4x + 56 + 10x Reorder the terms: -33 + -16 + 17x + 12x = 4x + 56 + 10x Combine like terms: -33 + -16 = -49 -49 + 17x + 12x = 4x + 56 + 10x Combine like terms: 17x + 12x = 29x -49 + 29x = 4x + 56 + 10x Reorder the terms: -49 + 29x = 56 + 4x + 10x Combine like terms: 4x + 10x = 14x -49 + 29x = 56 + 14x Solving -49 + 29x = 56 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -49 + 29x + -14x = 56 + 14x + -14x Combine like terms: 29x + -14x = 15x -49 + 15x = 56 + 14x + -14x Combine like terms: 14x + -14x = 0 -49 + 15x = 56 + 0 -49 + 15x = 56 Add '49' to each side of the equation. -49 + 49 + 15x = 56 + 49 Combine like terms: -49 + 49 = 0 0 + 15x = 56 + 49 15x = 56 + 49 Combine like terms: 56 + 49 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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