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Simplifying 3(x + -2) + 1 = x + -1(2x + -1) Reorder the terms: 3(-2 + x) + 1 = x + -1(2x + -1) (-2 * 3 + x * 3) + 1 = x + -1(2x + -1) (-6 + 3x) + 1 = x + -1(2x + -1) Reorder the terms: -6 + 1 + 3x = x + -1(2x + -1) Combine like terms: -6 + 1 = -5 -5 + 3x = x + -1(2x + -1) Reorder the terms: -5 + 3x = x + -1(-1 + 2x) -5 + 3x = x + (-1 * -1 + 2x * -1) -5 + 3x = x + (1 + -2x) Reorder the terms: -5 + 3x = 1 + x + -2x Combine like terms: x + -2x = -1x -5 + 3x = 1 + -1x Solving -5 + 3x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 3x + x = 1 + -1x + x Combine like terms: 3x + x = 4x -5 + 4x = 1 + -1x + x Combine like terms: -1x + x = 0 -5 + 4x = 1 + 0 -5 + 4x = 1 Add '5' to each side of the equation. -5 + 5 + 4x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 1 + 5 4x = 1 + 5 Combine like terms: 1 + 5 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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