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Simplifying 10x + -55x + 40 = -6x + 7 Reorder the terms: 40 + 10x + -55x = -6x + 7 Combine like terms: 10x + -55x = -45x 40 + -45x = -6x + 7 Reorder the terms: 40 + -45x = 7 + -6x Solving 40 + -45x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 40 + -45x + 6x = 7 + -6x + 6x Combine like terms: -45x + 6x = -39x 40 + -39x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + -39x = 7 + 0 40 + -39x = 7 Add '-40' to each side of the equation. 40 + -40 + -39x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -39x = 7 + -40 -39x = 7 + -40 Combine like terms: 7 + -40 = -33 -39x = -33 Divide each side by '-39'. x = 0.8461538462 Simplifying x = 0.8461538462
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