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Simplifying -5(-3x + -9) = 6(-6x + -3) + 267 Reorder the terms: -5(-9 + -3x) = 6(-6x + -3) + 267 (-9 * -5 + -3x * -5) = 6(-6x + -3) + 267 (45 + 15x) = 6(-6x + -3) + 267 Reorder the terms: 45 + 15x = 6(-3 + -6x) + 267 45 + 15x = (-3 * 6 + -6x * 6) + 267 45 + 15x = (-18 + -36x) + 267 Reorder the terms: 45 + 15x = -18 + 267 + -36x Combine like terms: -18 + 267 = 249 45 + 15x = 249 + -36x Solving 45 + 15x = 249 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 45 + 15x + 36x = 249 + -36x + 36x Combine like terms: 15x + 36x = 51x 45 + 51x = 249 + -36x + 36x Combine like terms: -36x + 36x = 0 45 + 51x = 249 + 0 45 + 51x = 249 Add '-45' to each side of the equation. 45 + -45 + 51x = 249 + -45 Combine like terms: 45 + -45 = 0 0 + 51x = 249 + -45 51x = 249 + -45 Combine like terms: 249 + -45 = 204 51x = 204 Divide each side by '51'. x = 4 Simplifying x = 4
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