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Simplifying x + -2(x + 4) = 1 + 3(x + 2) Reorder the terms: x + -2(4 + x) = 1 + 3(x + 2) x + (4 * -2 + x * -2) = 1 + 3(x + 2) x + (-8 + -2x) = 1 + 3(x + 2) Reorder the terms: -8 + x + -2x = 1 + 3(x + 2) Combine like terms: x + -2x = -1x -8 + -1x = 1 + 3(x + 2) Reorder the terms: -8 + -1x = 1 + 3(2 + x) -8 + -1x = 1 + (2 * 3 + x * 3) -8 + -1x = 1 + (6 + 3x) Combine like terms: 1 + 6 = 7 -8 + -1x = 7 + 3x Solving -8 + -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. -8 + -1x + -3x = 7 + 3x + -3x Combine like terms: -1x + -3x = -4x -8 + -4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -4x = 7 + 0 -8 + -4x = 7 Add '8' to each side of the equation. -8 + 8 + -4x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 7 + 8 -4x = 7 + 8 Combine like terms: 7 + 8 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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