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Simplifying 3x + 6 = 3 + 5x + -7 Reorder the terms: 6 + 3x = 3 + 5x + -7 Reorder the terms: 6 + 3x = 3 + -7 + 5x Combine like terms: 3 + -7 = -4 6 + 3x = -4 + 5x Solving 6 + 3x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 3x + -5x = -4 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = -4 + 0 6 + -2x = -4 Add '-6' to each side of the equation. 6 + -6 + -2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -4 + -6 -2x = -4 + -6 Combine like terms: -4 + -6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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