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Simplifying -40 + x = -6x + 51 Reorder the terms: -40 + x = 51 + -6x Solving -40 + x = 51 + -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 + x + 6x = 51 + -6x + 6x Combine like terms: x + 6x = 7x -40 + 7x = 51 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 7x = 51 + 0 -40 + 7x = 51 Add '40' to each side of the equation. -40 + 40 + 7x = 51 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = 51 + 40 7x = 51 + 40 Combine like terms: 51 + 40 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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