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Simplifying 2x + -7 = 5x + 49 Reorder the terms: -7 + 2x = 5x + 49 Reorder the terms: -7 + 2x = 49 + 5x Solving -7 + 2x = 49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 2x + -5x = 49 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = 49 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = 49 + 0 -7 + -3x = 49 Add '7' to each side of the equation. -7 + 7 + -3x = 49 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 49 + 7 -3x = 49 + 7 Combine like terms: 49 + 7 = 56 -3x = 56 Divide each side by '-3'. x = -18.66666667 Simplifying x = -18.66666667
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