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Simplifying 8x + -2(x + 9) = 4(x + 11) Reorder the terms: 8x + -2(9 + x) = 4(x + 11) 8x + (9 * -2 + x * -2) = 4(x + 11) 8x + (-18 + -2x) = 4(x + 11) Reorder the terms: -18 + 8x + -2x = 4(x + 11) Combine like terms: 8x + -2x = 6x -18 + 6x = 4(x + 11) Reorder the terms: -18 + 6x = 4(11 + x) -18 + 6x = (11 * 4 + x * 4) -18 + 6x = (44 + 4x) Solving -18 + 6x = 44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 6x + -4x = 44 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 44 + 0 -18 + 2x = 44 Add '18' to each side of the equation. -18 + 18 + 2x = 44 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 44 + 18 2x = 44 + 18 Combine like terms: 44 + 18 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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