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Simplifying 3(3x + -6) + -4(3x + -6) = -45 Reorder the terms: 3(-6 + 3x) + -4(3x + -6) = -45 (-6 * 3 + 3x * 3) + -4(3x + -6) = -45 (-18 + 9x) + -4(3x + -6) = -45 Reorder the terms: -18 + 9x + -4(-6 + 3x) = -45 -18 + 9x + (-6 * -4 + 3x * -4) = -45 -18 + 9x + (24 + -12x) = -45 Reorder the terms: -18 + 24 + 9x + -12x = -45 Combine like terms: -18 + 24 = 6 6 + 9x + -12x = -45 Combine like terms: 9x + -12x = -3x 6 + -3x = -45 Solving 6 + -3x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3x = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -45 + -6 -3x = -45 + -6 Combine like terms: -45 + -6 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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