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Simplifying 6x + -9 = 7x + 40 Reorder the terms: -9 + 6x = 7x + 40 Reorder the terms: -9 + 6x = 40 + 7x Solving -9 + 6x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 6x + -7x = 40 + 7x + -7x Combine like terms: 6x + -7x = -1x -9 + -1x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -1x = 40 + 0 -9 + -1x = 40 Add '9' to each side of the equation. -9 + 9 + -1x = 40 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 40 + 9 -1x = 40 + 9 Combine like terms: 40 + 9 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49
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