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Simplifying -2x + -7 + 3x = 2x + 5 Reorder the terms: -7 + -2x + 3x = 2x + 5 Combine like terms: -2x + 3x = 1x -7 + 1x = 2x + 5 Reorder the terms: -7 + 1x = 5 + 2x Solving -7 + 1x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 1x + -2x = 5 + 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = 5 + 0 -7 + -1x = 5 Add '7' to each side of the equation. -7 + 7 + -1x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 5 + 7 -1x = 5 + 7 Combine like terms: 5 + 7 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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