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Simplifying 2(3x + -1) = 4(2x + 2) Reorder the terms: 2(-1 + 3x) = 4(2x + 2) (-1 * 2 + 3x * 2) = 4(2x + 2) (-2 + 6x) = 4(2x + 2) Reorder the terms: -2 + 6x = 4(2 + 2x) -2 + 6x = (2 * 4 + 2x * 4) -2 + 6x = (8 + 8x) Solving -2 + 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. -2 + 6x + -8x = 8 + 8x + -8x Combine like terms: 6x + -8x = -2x -2 + -2x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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