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Simplifying 6(x + -9) = -3(x + 45) Reorder the terms: 6(-9 + x) = -3(x + 45) (-9 * 6 + x * 6) = -3(x + 45) (-54 + 6x) = -3(x + 45) Reorder the terms: -54 + 6x = -3(45 + x) -54 + 6x = (45 * -3 + x * -3) -54 + 6x = (-135 + -3x) Solving -54 + 6x = -135 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -54 + 6x + 3x = -135 + -3x + 3x Combine like terms: 6x + 3x = 9x -54 + 9x = -135 + -3x + 3x Combine like terms: -3x + 3x = 0 -54 + 9x = -135 + 0 -54 + 9x = -135 Add '54' to each side of the equation. -54 + 54 + 9x = -135 + 54 Combine like terms: -54 + 54 = 0 0 + 9x = -135 + 54 9x = -135 + 54 Combine like terms: -135 + 54 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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