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