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