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Simplifying -5(3x + -9) = 2(x + -7) * 9 Reorder the terms: -5(-9 + 3x) = 2(x + -7) * 9 (-9 * -5 + 3x * -5) = 2(x + -7) * 9 (45 + -15x) = 2(x + -7) * 9 Reorder the terms: 45 + -15x = 2(-7 + x) * 9 Reorder the terms for easier multiplication: 45 + -15x = 2 * 9(-7 + x) Multiply 2 * 9 45 + -15x = 18(-7 + x) 45 + -15x = (-7 * 18 + x * 18) 45 + -15x = (-126 + 18x) Solving 45 + -15x = -126 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 45 + -15x + -18x = -126 + 18x + -18x Combine like terms: -15x + -18x = -33x 45 + -33x = -126 + 18x + -18x Combine like terms: 18x + -18x = 0 45 + -33x = -126 + 0 45 + -33x = -126 Add '-45' to each side of the equation. 45 + -45 + -33x = -126 + -45 Combine like terms: 45 + -45 = 0 0 + -33x = -126 + -45 -33x = -126 + -45 Combine like terms: -126 + -45 = -171 -33x = -171 Divide each side by '-33'. x = 5.181818182 Simplifying x = 5.181818182
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