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Simplifying 3x + -1(2 + -1x) = 4(3 + -1x) + 5 3x + (2 * -1 + -1x * -1) = 4(3 + -1x) + 5 3x + (-2 + 1x) = 4(3 + -1x) + 5 Reorder the terms: -2 + 3x + 1x = 4(3 + -1x) + 5 Combine like terms: 3x + 1x = 4x -2 + 4x = 4(3 + -1x) + 5 -2 + 4x = (3 * 4 + -1x * 4) + 5 -2 + 4x = (12 + -4x) + 5 Reorder the terms: -2 + 4x = 12 + 5 + -4x Combine like terms: 12 + 5 = 17 -2 + 4x = 17 + -4x Solving -2 + 4x = 17 + -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 + 4x + 4x = 17 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = 17 + 0 -2 + 8x = 17 Add '2' to each side of the equation. -2 + 2 + 8x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 17 + 2 8x = 17 + 2 Combine like terms: 17 + 2 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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