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Simplifying 3x + 1 + -1(2x + -3) = 2x + 7 Reorder the terms: 3x + 1 + -1(-3 + 2x) = 2x + 7 3x + 1 + (-3 * -1 + 2x * -1) = 2x + 7 3x + 1 + (3 + -2x) = 2x + 7 Reorder the terms: 1 + 3 + 3x + -2x = 2x + 7 Combine like terms: 1 + 3 = 4 4 + 3x + -2x = 2x + 7 Combine like terms: 3x + -2x = 1x 4 + 1x = 2x + 7 Reorder the terms: 4 + 1x = 7 + 2x Solving 4 + 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. 4 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = 7 + 0 4 + -1x = 7 Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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