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