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Simplifying (2x + 6) + (-3x + 1) = 0 Reorder the terms: (6 + 2x) + (-3x + 1) = 0 Remove parenthesis around (6 + 2x) 6 + 2x + (-3x + 1) = 0 Reorder the terms: 6 + 2x + (1 + -3x) = 0 Remove parenthesis around (1 + -3x) 6 + 2x + 1 + -3x = 0 Reorder the terms: 6 + 1 + 2x + -3x = 0 Combine like terms: 6 + 1 = 7 7 + 2x + -3x = 0 Combine like terms: 2x + -3x = -1x 7 + -1x = 0 Solving 7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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