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Simplifying -3(x + -6) + -45 = 1 + -40 Reorder the terms: -3(-6 + x) + -45 = 1 + -40 (-6 * -3 + x * -3) + -45 = 1 + -40 (18 + -3x) + -45 = 1 + -40 Reorder the terms: 18 + -45 + -3x = 1 + -40 Combine like terms: 18 + -45 = -27 -27 + -3x = 1 + -40 Combine like terms: 1 + -40 = -39 -27 + -3x = -39 Solving -27 + -3x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -3x = -39 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = -39 + 27 -3x = -39 + 27 Combine like terms: -39 + 27 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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