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