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Simplifying 2x + -4(6x + -4(x + 1)) = 2(3x + 5) Reorder the terms: 2x + -4(6x + -4(1 + x)) = 2(3x + 5) 2x + -4(6x + (1 * -4 + x * -4)) = 2(3x + 5) 2x + -4(6x + (-4 + -4x)) = 2(3x + 5) Reorder the terms: 2x + -4(-4 + 6x + -4x) = 2(3x + 5) Combine like terms: 6x + -4x = 2x 2x + -4(-4 + 2x) = 2(3x + 5) 2x + (-4 * -4 + 2x * -4) = 2(3x + 5) 2x + (16 + -8x) = 2(3x + 5) Reorder the terms: 16 + 2x + -8x = 2(3x + 5) Combine like terms: 2x + -8x = -6x 16 + -6x = 2(3x + 5) Reorder the terms: 16 + -6x = 2(5 + 3x) 16 + -6x = (5 * 2 + 3x * 2) 16 + -6x = (10 + 6x) Solving 16 + -6x = 10 + 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. 16 + -6x + -6x = 10 + 6x + -6x Combine like terms: -6x + -6x = -12x 16 + -12x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -12x = 10 + 0 16 + -12x = 10 Add '-16' to each side of the equation. 16 + -16 + -12x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 10 + -16 -12x = 10 + -16 Combine like terms: 10 + -16 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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