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Simplifying 4 + -1(x + 7) = 9 + -1(3x + 1) Reorder the terms: 4 + -1(7 + x) = 9 + -1(3x + 1) 4 + (7 * -1 + x * -1) = 9 + -1(3x + 1) 4 + (-7 + -1x) = 9 + -1(3x + 1) Combine like terms: 4 + -7 = -3 -3 + -1x = 9 + -1(3x + 1) Reorder the terms: -3 + -1x = 9 + -1(1 + 3x) -3 + -1x = 9 + (1 * -1 + 3x * -1) -3 + -1x = 9 + (-1 + -3x) Combine like terms: 9 + -1 = 8 -3 + -1x = 8 + -3x Solving -3 + -1x = 8 + -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. -3 + -1x + 3x = 8 + -3x + 3x Combine like terms: -1x + 3x = 2x -3 + 2x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 2x = 8 + 0 -3 + 2x = 8 Add '3' to each side of the equation. -3 + 3 + 2x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 8 + 3 2x = 8 + 3 Combine like terms: 8 + 3 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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