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Simplifying 3 + -1(x + 4) = 1 + -3(x + -2) Reorder the terms: 3 + -1(4 + x) = 1 + -3(x + -2) 3 + (4 * -1 + x * -1) = 1 + -3(x + -2) 3 + (-4 + -1x) = 1 + -3(x + -2) Combine like terms: 3 + -4 = -1 -1 + -1x = 1 + -3(x + -2) Reorder the terms: -1 + -1x = 1 + -3(-2 + x) -1 + -1x = 1 + (-2 * -3 + x * -3) -1 + -1x = 1 + (6 + -3x) Combine like terms: 1 + 6 = 7 -1 + -1x = 7 + -3x Solving -1 + -1x = 7 + -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. -1 + -1x + 3x = 7 + -3x + 3x Combine like terms: -1x + 3x = 2x -1 + 2x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 2x = 7 + 0 -1 + 2x = 7 Add '1' to each side of the equation. -1 + 1 + 2x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 7 + 1 2x = 7 + 1 Combine like terms: 7 + 1 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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