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Simplifying 209 + -1(8x + -4) = 9(6x + 3) Reorder the terms: 209 + -1(-4 + 8x) = 9(6x + 3) 209 + (-4 * -1 + 8x * -1) = 9(6x + 3) 209 + (4 + -8x) = 9(6x + 3) Combine like terms: 209 + 4 = 213 213 + -8x = 9(6x + 3) Reorder the terms: 213 + -8x = 9(3 + 6x) 213 + -8x = (3 * 9 + 6x * 9) 213 + -8x = (27 + 54x) Solving 213 + -8x = 27 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 213 + -8x + -54x = 27 + 54x + -54x Combine like terms: -8x + -54x = -62x 213 + -62x = 27 + 54x + -54x Combine like terms: 54x + -54x = 0 213 + -62x = 27 + 0 213 + -62x = 27 Add '-213' to each side of the equation. 213 + -213 + -62x = 27 + -213 Combine like terms: 213 + -213 = 0 0 + -62x = 27 + -213 -62x = 27 + -213 Combine like terms: 27 + -213 = -186 -62x = -186 Divide each side by '-62'. x = 3 Simplifying x = 3
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