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Simplifying -6(x + 3) + -45 = 7 + -40 Reorder the terms: -6(3 + x) + -45 = 7 + -40 (3 * -6 + x * -6) + -45 = 7 + -40 (-18 + -6x) + -45 = 7 + -40 Reorder the terms: -18 + -45 + -6x = 7 + -40 Combine like terms: -18 + -45 = -63 -63 + -6x = 7 + -40 Combine like terms: 7 + -40 = -33 -63 + -6x = -33 Solving -63 + -6x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -6x = -33 + 63 Combine like terms: -63 + 63 = 0 0 + -6x = -33 + 63 -6x = -33 + 63 Combine like terms: -33 + 63 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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