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Simplifying 3x + -1(2 + 5x) = 4(1 + -1x) + 1 3x + (2 * -1 + 5x * -1) = 4(1 + -1x) + 1 3x + (-2 + -5x) = 4(1 + -1x) + 1 Reorder the terms: -2 + 3x + -5x = 4(1 + -1x) + 1 Combine like terms: 3x + -5x = -2x -2 + -2x = 4(1 + -1x) + 1 -2 + -2x = (1 * 4 + -1x * 4) + 1 -2 + -2x = (4 + -4x) + 1 Reorder the terms: -2 + -2x = 4 + 1 + -4x Combine like terms: 4 + 1 = 5 -2 + -2x = 5 + -4x Solving -2 + -2x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -2x + 4x = 5 + -4x + 4x Combine like terms: -2x + 4x = 2x -2 + 2x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 2x = 5 + 0 -2 + 2x = 5 Add '2' to each side of the equation. -2 + 2 + 2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 5 + 2 2x = 5 + 2 Combine like terms: 5 + 2 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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