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