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Simplifying 3x + -2(x + 4) = 5x + -1(2x + 1) Reorder the terms: 3x + -2(4 + x) = 5x + -1(2x + 1) 3x + (4 * -2 + x * -2) = 5x + -1(2x + 1) 3x + (-8 + -2x) = 5x + -1(2x + 1) Reorder the terms: -8 + 3x + -2x = 5x + -1(2x + 1) Combine like terms: 3x + -2x = 1x -8 + 1x = 5x + -1(2x + 1) Reorder the terms: -8 + 1x = 5x + -1(1 + 2x) -8 + 1x = 5x + (1 * -1 + 2x * -1) -8 + 1x = 5x + (-1 + -2x) Reorder the terms: -8 + 1x = -1 + 5x + -2x Combine like terms: 5x + -2x = 3x -8 + 1x = -1 + 3x Solving -8 + 1x = -1 + 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 = -1 + 3x + -3x Combine like terms: 1x + -3x = -2x -8 + -2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -2x = -1 + 0 -8 + -2x = -1 Add '8' to each side of the equation. -8 + 8 + -2x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -1 + 8 -2x = -1 + 8 Combine like terms: -1 + 8 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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