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Simplifying 3x + -13 = 10 + x + 7 Reorder the terms: -13 + 3x = 10 + x + 7 Reorder the terms: -13 + 3x = 10 + 7 + x Combine like terms: 10 + 7 = 17 -13 + 3x = 17 + x Solving -13 + 3x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 3x + -1x = 17 + x + -1x Combine like terms: 3x + -1x = 2x -13 + 2x = 17 + x + -1x Combine like terms: x + -1x = 0 -13 + 2x = 17 + 0 -13 + 2x = 17 Add '13' to each side of the equation. -13 + 13 + 2x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 17 + 13 2x = 17 + 13 Combine like terms: 17 + 13 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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