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Simplifying 6 + -2(4x + 1) = 2x + -2(2x + 7) Reorder the terms: 6 + -2(1 + 4x) = 2x + -2(2x + 7) 6 + (1 * -2 + 4x * -2) = 2x + -2(2x + 7) 6 + (-2 + -8x) = 2x + -2(2x + 7) Combine like terms: 6 + -2 = 4 4 + -8x = 2x + -2(2x + 7) Reorder the terms: 4 + -8x = 2x + -2(7 + 2x) 4 + -8x = 2x + (7 * -2 + 2x * -2) 4 + -8x = 2x + (-14 + -4x) Reorder the terms: 4 + -8x = -14 + 2x + -4x Combine like terms: 2x + -4x = -2x 4 + -8x = -14 + -2x Solving 4 + -8x = -14 + -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. 4 + -8x + 2x = -14 + -2x + 2x Combine like terms: -8x + 2x = -6x 4 + -6x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -6x = -14 + 0 4 + -6x = -14 Add '-4' to each side of the equation. 4 + -4 + -6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -14 + -4 -6x = -14 + -4 Combine like terms: -14 + -4 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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