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Simplifying 8x + -2(1x + 9) = 1x + 47 Reorder the terms: 8x + -2(9 + 1x) = 1x + 47 8x + (9 * -2 + 1x * -2) = 1x + 47 8x + (-18 + -2x) = 1x + 47 Reorder the terms: -18 + 8x + -2x = 1x + 47 Combine like terms: 8x + -2x = 6x -18 + 6x = 1x + 47 Reorder the terms: -18 + 6x = 47 + 1x Solving -18 + 6x = 47 + 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. -18 + 6x + -1x = 47 + 1x + -1x Combine like terms: 6x + -1x = 5x -18 + 5x = 47 + 1x + -1x Combine like terms: 1x + -1x = 0 -18 + 5x = 47 + 0 -18 + 5x = 47 Add '18' to each side of the equation. -18 + 18 + 5x = 47 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 47 + 18 5x = 47 + 18 Combine like terms: 47 + 18 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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