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Simplifying 3x + -1(2x + 1) = 4(x + -1) + 2x Reorder the terms: 3x + -1(1 + 2x) = 4(x + -1) + 2x 3x + (1 * -1 + 2x * -1) = 4(x + -1) + 2x 3x + (-1 + -2x) = 4(x + -1) + 2x Reorder the terms: -1 + 3x + -2x = 4(x + -1) + 2x Combine like terms: 3x + -2x = 1x -1 + 1x = 4(x + -1) + 2x Reorder the terms: -1 + 1x = 4(-1 + x) + 2x -1 + 1x = (-1 * 4 + x * 4) + 2x -1 + 1x = (-4 + 4x) + 2x Combine like terms: 4x + 2x = 6x -1 + 1x = -4 + 6x Solving -1 + 1x = -4 + 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. -1 + 1x + -6x = -4 + 6x + -6x Combine like terms: 1x + -6x = -5x -1 + -5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -5x = -4 + 0 -1 + -5x = -4 Add '1' to each side of the equation. -1 + 1 + -5x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -4 + 1 -5x = -4 + 1 Combine like terms: -4 + 1 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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