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Simplifying 2(2x + -1) + -6(1 + -2x) = 2(4x) Reorder the terms: 2(-1 + 2x) + -6(1 + -2x) = 2(4x) (-1 * 2 + 2x * 2) + -6(1 + -2x) = 2(4x) (-2 + 4x) + -6(1 + -2x) = 2(4x) -2 + 4x + (1 * -6 + -2x * -6) = 2(4x) -2 + 4x + (-6 + 12x) = 2(4x) Reorder the terms: -2 + -6 + 4x + 12x = 2(4x) Combine like terms: -2 + -6 = -8 -8 + 4x + 12x = 2(4x) Combine like terms: 4x + 12x = 16x -8 + 16x = 2(4x) Remove parenthesis around (4x) -8 + 16x = 2 * 4x Multiply 2 * 4 -8 + 16x = 8x Solving -8 + 16x = 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. -8 + 16x + -8x = 8x + -8x Combine like terms: 16x + -8x = 8x -8 + 8x = 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 8x = 0 Add '8' to each side of the equation. -8 + 8 + 8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 0 + 8 8x = 0 + 8 Combine like terms: 0 + 8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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