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Simplifying 3(5x + -6) = 6x + -45 Reorder the terms: 3(-6 + 5x) = 6x + -45 (-6 * 3 + 5x * 3) = 6x + -45 (-18 + 15x) = 6x + -45 Reorder the terms: -18 + 15x = -45 + 6x Solving -18 + 15x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 15x + -6x = -45 + 6x + -6x Combine like terms: 15x + -6x = 9x -18 + 9x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 9x = -45 + 0 -18 + 9x = -45 Add '18' to each side of the equation. -18 + 18 + 9x = -45 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = -45 + 18 9x = -45 + 18 Combine like terms: -45 + 18 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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