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Simplifying 3(x + -2) + 2(2x + -1) = 2x + -3 Reorder the terms: 3(-2 + x) + 2(2x + -1) = 2x + -3 (-2 * 3 + x * 3) + 2(2x + -1) = 2x + -3 (-6 + 3x) + 2(2x + -1) = 2x + -3 Reorder the terms: -6 + 3x + 2(-1 + 2x) = 2x + -3 -6 + 3x + (-1 * 2 + 2x * 2) = 2x + -3 -6 + 3x + (-2 + 4x) = 2x + -3 Reorder the terms: -6 + -2 + 3x + 4x = 2x + -3 Combine like terms: -6 + -2 = -8 -8 + 3x + 4x = 2x + -3 Combine like terms: 3x + 4x = 7x -8 + 7x = 2x + -3 Reorder the terms: -8 + 7x = -3 + 2x Solving -8 + 7x = -3 + 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. -8 + 7x + -2x = -3 + 2x + -2x Combine like terms: 7x + -2x = 5x -8 + 5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 5x = -3 + 0 -8 + 5x = -3 Add '8' to each side of the equation. -8 + 8 + 5x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -3 + 8 5x = -3 + 8 Combine like terms: -3 + 8 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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