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Simplifying 2x + -10 + 7 = 3x + 1 + -3 Reorder the terms: -10 + 7 + 2x = 3x + 1 + -3 Combine like terms: -10 + 7 = -3 -3 + 2x = 3x + 1 + -3 Reorder the terms: -3 + 2x = 1 + -3 + 3x Combine like terms: 1 + -3 = -2 -3 + 2x = -2 + 3x Solving -3 + 2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -2 + 0 -3 + -1x = -2 Add '3' to each side of the equation. -3 + 3 + -1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -2 + 3 -1x = -2 + 3 Combine like terms: -2 + 3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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