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Simplifying x + 5 = 3x + -7 Reorder the terms: 5 + x = 3x + -7 Reorder the terms: 5 + x = -7 + 3x Solving 5 + x = -7 + 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. 5 + x + -3x = -7 + 3x + -3x Combine like terms: x + -3x = -2x 5 + -2x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -2x = -7 + 0 5 + -2x = -7 Add '-5' to each side of the equation. 5 + -5 + -2x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -7 + -5 -2x = -7 + -5 Combine like terms: -7 + -5 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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