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Simplifying x + -1(2x + 4) = 8 + -1(3x + 3) Reorder the terms: x + -1(4 + 2x) = 8 + -1(3x + 3) x + (4 * -1 + 2x * -1) = 8 + -1(3x + 3) x + (-4 + -2x) = 8 + -1(3x + 3) Reorder the terms: -4 + x + -2x = 8 + -1(3x + 3) Combine like terms: x + -2x = -1x -4 + -1x = 8 + -1(3x + 3) Reorder the terms: -4 + -1x = 8 + -1(3 + 3x) -4 + -1x = 8 + (3 * -1 + 3x * -1) -4 + -1x = 8 + (-3 + -3x) Combine like terms: 8 + -3 = 5 -4 + -1x = 5 + -3x Solving -4 + -1x = 5 + -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. -4 + -1x + 3x = 5 + -3x + 3x Combine like terms: -1x + 3x = 2x -4 + 2x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 2x = 5 + 0 -4 + 2x = 5 Add '4' to each side of the equation. -4 + 4 + 2x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 5 + 4 2x = 5 + 4 Combine like terms: 5 + 4 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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