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Simplifying x + 3 = 6x + -7 Reorder the terms: 3 + x = 6x + -7 Reorder the terms: 3 + x = -7 + 6x Solving 3 + x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + x + -6x = -7 + 6x + -6x Combine like terms: x + -6x = -5x 3 + -5x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -5x = -7 + 0 3 + -5x = -7 Add '-3' to each side of the equation. 3 + -3 + -5x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -7 + -3 -5x = -7 + -3 Combine like terms: -7 + -3 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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