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Simplifying 3(2x + -1) + 2x = 1 + -4(x + -2) Reorder the terms: 3(-1 + 2x) + 2x = 1 + -4(x + -2) (-1 * 3 + 2x * 3) + 2x = 1 + -4(x + -2) (-3 + 6x) + 2x = 1 + -4(x + -2) Combine like terms: 6x + 2x = 8x -3 + 8x = 1 + -4(x + -2) Reorder the terms: -3 + 8x = 1 + -4(-2 + x) -3 + 8x = 1 + (-2 * -4 + x * -4) -3 + 8x = 1 + (8 + -4x) Combine like terms: 1 + 8 = 9 -3 + 8x = 9 + -4x Solving -3 + 8x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 8x + 4x = 9 + -4x + 4x Combine like terms: 8x + 4x = 12x -3 + 12x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 12x = 9 + 0 -3 + 12x = 9 Add '3' to each side of the equation. -3 + 3 + 12x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 9 + 3 12x = 9 + 3 Combine like terms: 9 + 3 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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