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Simplifying 6 + -2(4x + 1) = 5x + -2(2x + 7) Reorder the terms: 6 + -2(1 + 4x) = 5x + -2(2x + 7) 6 + (1 * -2 + 4x * -2) = 5x + -2(2x + 7) 6 + (-2 + -8x) = 5x + -2(2x + 7) Combine like terms: 6 + -2 = 4 4 + -8x = 5x + -2(2x + 7) Reorder the terms: 4 + -8x = 5x + -2(7 + 2x) 4 + -8x = 5x + (7 * -2 + 2x * -2) 4 + -8x = 5x + (-14 + -4x) Reorder the terms: 4 + -8x = -14 + 5x + -4x Combine like terms: 5x + -4x = 1x 4 + -8x = -14 + 1x Solving 4 + -8x = -14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -8x + -1x = -14 + 1x + -1x Combine like terms: -8x + -1x = -9x 4 + -9x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + -9x = -14 + 0 4 + -9x = -14 Add '-4' to each side of the equation. 4 + -4 + -9x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -14 + -4 -9x = -14 + -4 Combine like terms: -14 + -4 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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