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Simplifying 6 + 2x + -3 = 7x + 13 + -3x Reorder the terms: 6 + -3 + 2x = 7x + 13 + -3x Combine like terms: 6 + -3 = 3 3 + 2x = 7x + 13 + -3x Reorder the terms: 3 + 2x = 13 + 7x + -3x Combine like terms: 7x + -3x = 4x 3 + 2x = 13 + 4x Solving 3 + 2x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 2x + -4x = 13 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = 13 + 0 3 + -2x = 13 Add '-3' to each side of the equation. 3 + -3 + -2x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 13 + -3 -2x = 13 + -3 Combine like terms: 13 + -3 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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