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Simplifying 2x + -1(7 + 3x) = 11 + -1(3x + -3) 2x + (7 * -1 + 3x * -1) = 11 + -1(3x + -3) 2x + (-7 + -3x) = 11 + -1(3x + -3) Reorder the terms: -7 + 2x + -3x = 11 + -1(3x + -3) Combine like terms: 2x + -3x = -1x -7 + -1x = 11 + -1(3x + -3) Reorder the terms: -7 + -1x = 11 + -1(-3 + 3x) -7 + -1x = 11 + (-3 * -1 + 3x * -1) -7 + -1x = 11 + (3 + -3x) Combine like terms: 11 + 3 = 14 -7 + -1x = 14 + -3x Solving -7 + -1x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -1x + 3x = 14 + -3x + 3x Combine like terms: -1x + 3x = 2x -7 + 2x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 2x = 14 + 0 -7 + 2x = 14 Add '7' to each side of the equation. -7 + 7 + 2x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 14 + 7 2x = 14 + 7 Combine like terms: 14 + 7 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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