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