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Simplifying 8x + -15x + 35 + -78 = 106 Reorder the terms: 35 + -78 + 8x + -15x = 106 Combine like terms: 35 + -78 = -43 -43 + 8x + -15x = 106 Combine like terms: 8x + -15x = -7x -43 + -7x = 106 Solving -43 + -7x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -7x = 106 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 106 + 43 -7x = 106 + 43 Combine like terms: 106 + 43 = 149 -7x = 149 Divide each side by '-7'. x = -21.28571429 Simplifying x = -21.28571429
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