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Simplifying 8 + -2(4x + 1) = 2x + -2(2x + 6) Reorder the terms: 8 + -2(1 + 4x) = 2x + -2(2x + 6) 8 + (1 * -2 + 4x * -2) = 2x + -2(2x + 6) 8 + (-2 + -8x) = 2x + -2(2x + 6) Combine like terms: 8 + -2 = 6 6 + -8x = 2x + -2(2x + 6) Reorder the terms: 6 + -8x = 2x + -2(6 + 2x) 6 + -8x = 2x + (6 * -2 + 2x * -2) 6 + -8x = 2x + (-12 + -4x) Reorder the terms: 6 + -8x = -12 + 2x + -4x Combine like terms: 2x + -4x = -2x 6 + -8x = -12 + -2x Solving 6 + -8x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -8x + 2x = -12 + -2x + 2x Combine like terms: -8x + 2x = -6x 6 + -6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -6x = -12 + 0 6 + -6x = -12 Add '-6' to each side of the equation. 6 + -6 + -6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -12 + -6 -6x = -12 + -6 Combine like terms: -12 + -6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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