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