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Simplifying 3x + -2(x + 1) = 2(3x + -1) + 4 Reorder the terms: 3x + -2(1 + x) = 2(3x + -1) + 4 3x + (1 * -2 + x * -2) = 2(3x + -1) + 4 3x + (-2 + -2x) = 2(3x + -1) + 4 Reorder the terms: -2 + 3x + -2x = 2(3x + -1) + 4 Combine like terms: 3x + -2x = 1x -2 + 1x = 2(3x + -1) + 4 Reorder the terms: -2 + 1x = 2(-1 + 3x) + 4 -2 + 1x = (-1 * 2 + 3x * 2) + 4 -2 + 1x = (-2 + 6x) + 4 Reorder the terms: -2 + 1x = -2 + 4 + 6x Combine like terms: -2 + 4 = 2 -2 + 1x = 2 + 6x Solving -2 + 1x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 1x + -6x = 2 + 6x + -6x Combine like terms: 1x + -6x = -5x -2 + -5x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -5x = 2 + 0 -2 + -5x = 2 Add '2' to each side of the equation. -2 + 2 + -5x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 2 + 2 -5x = 2 + 2 Combine like terms: 2 + 2 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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