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Simplifying 12x + -67x + -57 = 12x + 28x + -817 Reorder the terms: -57 + 12x + -67x = 12x + 28x + -817 Combine like terms: 12x + -67x = -55x -57 + -55x = 12x + 28x + -817 Reorder the terms: -57 + -55x = -817 + 12x + 28x Combine like terms: 12x + 28x = 40x -57 + -55x = -817 + 40x Solving -57 + -55x = -817 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -57 + -55x + -40x = -817 + 40x + -40x Combine like terms: -55x + -40x = -95x -57 + -95x = -817 + 40x + -40x Combine like terms: 40x + -40x = 0 -57 + -95x = -817 + 0 -57 + -95x = -817 Add '57' to each side of the equation. -57 + 57 + -95x = -817 + 57 Combine like terms: -57 + 57 = 0 0 + -95x = -817 + 57 -95x = -817 + 57 Combine like terms: -817 + 57 = -760 -95x = -760 Divide each side by '-95'. x = 8 Simplifying x = 8
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