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Simplifying 8 + -2(4x + 1) = 2x + -2(2x + 9) Reorder the terms: 8 + -2(1 + 4x) = 2x + -2(2x + 9) 8 + (1 * -2 + 4x * -2) = 2x + -2(2x + 9) 8 + (-2 + -8x) = 2x + -2(2x + 9) Combine like terms: 8 + -2 = 6 6 + -8x = 2x + -2(2x + 9) Reorder the terms: 6 + -8x = 2x + -2(9 + 2x) 6 + -8x = 2x + (9 * -2 + 2x * -2) 6 + -8x = 2x + (-18 + -4x) Reorder the terms: 6 + -8x = -18 + 2x + -4x Combine like terms: 2x + -4x = -2x 6 + -8x = -18 + -2x Solving 6 + -8x = -18 + -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 = -18 + -2x + 2x Combine like terms: -8x + 2x = -6x 6 + -6x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -6x = -18 + 0 6 + -6x = -18 Add '-6' to each side of the equation. 6 + -6 + -6x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -18 + -6 -6x = -18 + -6 Combine like terms: -18 + -6 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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