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Simplifying 3x + -1(x + 4) = 7 + -1(x + -7) Reorder the terms: 3x + -1(4 + x) = 7 + -1(x + -7) 3x + (4 * -1 + x * -1) = 7 + -1(x + -7) 3x + (-4 + -1x) = 7 + -1(x + -7) Reorder the terms: -4 + 3x + -1x = 7 + -1(x + -7) Combine like terms: 3x + -1x = 2x -4 + 2x = 7 + -1(x + -7) Reorder the terms: -4 + 2x = 7 + -1(-7 + x) -4 + 2x = 7 + (-7 * -1 + x * -1) -4 + 2x = 7 + (7 + -1x) Combine like terms: 7 + 7 = 14 -4 + 2x = 14 + -1x Solving -4 + 2x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 2x + x = 14 + -1x + x Combine like terms: 2x + x = 3x -4 + 3x = 14 + -1x + x Combine like terms: -1x + x = 0 -4 + 3x = 14 + 0 -4 + 3x = 14 Add '4' to each side of the equation. -4 + 4 + 3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 14 + 4 3x = 14 + 4 Combine like terms: 14 + 4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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