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Simplifying 6x + -45 = -3(x + 3) Reorder the terms: -45 + 6x = -3(x + 3) Reorder the terms: -45 + 6x = -3(3 + x) -45 + 6x = (3 * -3 + x * -3) -45 + 6x = (-9 + -3x) Solving -45 + 6x = -9 + -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. -45 + 6x + 3x = -9 + -3x + 3x Combine like terms: 6x + 3x = 9x -45 + 9x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + 9x = -9 + 0 -45 + 9x = -9 Add '45' to each side of the equation. -45 + 45 + 9x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = -9 + 45 9x = -9 + 45 Combine like terms: -9 + 45 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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