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Simplifying 3x + -1(2x + 7) = 4(2 + x) Reorder the terms: 3x + -1(7 + 2x) = 4(2 + x) 3x + (7 * -1 + 2x * -1) = 4(2 + x) 3x + (-7 + -2x) = 4(2 + x) Reorder the terms: -7 + 3x + -2x = 4(2 + x) Combine like terms: 3x + -2x = 1x -7 + 1x = 4(2 + x) -7 + 1x = (2 * 4 + x * 4) -7 + 1x = (8 + 4x) Solving -7 + 1x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 1x + -4x = 8 + 4x + -4x Combine like terms: 1x + -4x = -3x -7 + -3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -3x = 8 + 0 -7 + -3x = 8 Add '7' to each side of the equation. -7 + 7 + -3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 8 + 7 -3x = 8 + 7 Combine like terms: 8 + 7 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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