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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 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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