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Simplifying 3(x + -3) = 6x + 45 Reorder the terms: 3(-3 + x) = 6x + 45 (-3 * 3 + x * 3) = 6x + 45 (-9 + 3x) = 6x + 45 Reorder the terms: -9 + 3x = 45 + 6x Solving -9 + 3x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 3x + -6x = 45 + 6x + -6x Combine like terms: 3x + -6x = -3x -9 + -3x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -3x = 45 + 0 -9 + -3x = 45 Add '9' to each side of the equation. -9 + 9 + -3x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 45 + 9 -3x = 45 + 9 Combine like terms: 45 + 9 = 54 -3x = 54 Divide each side by '-3'. x = -18 Simplifying x = -18
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