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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 = 189 9x = 189 Divide each side by '9'. x = 21 Simplifying x = 21
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