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Simplifying 6(x + 9) = -2(x + 15) Reorder the terms: 6(9 + x) = -2(x + 15) (9 * 6 + x * 6) = -2(x + 15) (54 + 6x) = -2(x + 15) Reorder the terms: 54 + 6x = -2(15 + x) 54 + 6x = (15 * -2 + x * -2) 54 + 6x = (-30 + -2x) Solving 54 + 6x = -30 + -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. 54 + 6x + 2x = -30 + -2x + 2x Combine like terms: 6x + 2x = 8x 54 + 8x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + 8x = -30 + 0 54 + 8x = -30 Add '-54' to each side of the equation. 54 + -54 + 8x = -30 + -54 Combine like terms: 54 + -54 = 0 0 + 8x = -30 + -54 8x = -30 + -54 Combine like terms: -30 + -54 = -84 8x = -84 Divide each side by '8'. x = -10.5 Simplifying x = -10.5
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