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Simplifying 3(2x + -1) = 2(4x + -3) + -2 Reorder the terms: 3(-1 + 2x) = 2(4x + -3) + -2 (-1 * 3 + 2x * 3) = 2(4x + -3) + -2 (-3 + 6x) = 2(4x + -3) + -2 Reorder the terms: -3 + 6x = 2(-3 + 4x) + -2 -3 + 6x = (-3 * 2 + 4x * 2) + -2 -3 + 6x = (-6 + 8x) + -2 Reorder the terms: -3 + 6x = -6 + -2 + 8x Combine like terms: -6 + -2 = -8 -3 + 6x = -8 + 8x Solving -3 + 6x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 6x + -8x = -8 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = -8 + 0 -3 + -2x = -8 Add '3' to each side of the equation. -3 + 3 + -2x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -8 + 3 -2x = -8 + 3 Combine like terms: -8 + 3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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