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Simplifying 3x + -1(2x + 3) = 5x + 7 Reorder the terms: 3x + -1(3 + 2x) = 5x + 7 3x + (3 * -1 + 2x * -1) = 5x + 7 3x + (-3 + -2x) = 5x + 7 Reorder the terms: -3 + 3x + -2x = 5x + 7 Combine like terms: 3x + -2x = 1x -3 + 1x = 5x + 7 Reorder the terms: -3 + 1x = 7 + 5x Solving -3 + 1x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 1x + -5x = 7 + 5x + -5x Combine like terms: 1x + -5x = -4x -3 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -4x = 7 + 0 -3 + -4x = 7 Add '3' to each side of the equation. -3 + 3 + -4x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 7 + 3 -4x = 7 + 3 Combine like terms: 7 + 3 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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