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Simplifying 45 = 6(-3 + -3x) + -1(x + -6) 45 = (-3 * 6 + -3x * 6) + -1(x + -6) 45 = (-18 + -18x) + -1(x + -6) Reorder the terms: 45 = -18 + -18x + -1(-6 + x) 45 = -18 + -18x + (-6 * -1 + x * -1) 45 = -18 + -18x + (6 + -1x) Reorder the terms: 45 = -18 + 6 + -18x + -1x Combine like terms: -18 + 6 = -12 45 = -12 + -18x + -1x Combine like terms: -18x + -1x = -19x 45 = -12 + -19x Solving 45 = -12 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 45 + 19x = -12 + -19x + 19x Combine like terms: -19x + 19x = 0 45 + 19x = -12 + 0 45 + 19x = -12 Add '-45' to each side of the equation. 45 + -45 + 19x = -12 + -45 Combine like terms: 45 + -45 = 0 0 + 19x = -12 + -45 19x = -12 + -45 Combine like terms: -12 + -45 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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