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Simplifying 3(x + -1) + 2(x + -2) + 1 = 2x Reorder the terms: 3(-1 + x) + 2(x + -2) + 1 = 2x (-1 * 3 + x * 3) + 2(x + -2) + 1 = 2x (-3 + 3x) + 2(x + -2) + 1 = 2x Reorder the terms: -3 + 3x + 2(-2 + x) + 1 = 2x -3 + 3x + (-2 * 2 + x * 2) + 1 = 2x -3 + 3x + (-4 + 2x) + 1 = 2x Reorder the terms: -3 + -4 + 1 + 3x + 2x = 2x Combine like terms: -3 + -4 = -7 -7 + 1 + 3x + 2x = 2x Combine like terms: -7 + 1 = -6 -6 + 3x + 2x = 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 2x Solving -6 + 5x = 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. -6 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 0 Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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