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Simplifying -9(x + -3) = 6x + 42 Reorder the terms: -9(-3 + x) = 6x + 42 (-3 * -9 + x * -9) = 6x + 42 (27 + -9x) = 6x + 42 Reorder the terms: 27 + -9x = 42 + 6x Solving 27 + -9x = 42 + 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. 27 + -9x + -6x = 42 + 6x + -6x Combine like terms: -9x + -6x = -15x 27 + -15x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -15x = 42 + 0 27 + -15x = 42 Add '-27' to each side of the equation. 27 + -27 + -15x = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -15x = 42 + -27 -15x = 42 + -27 Combine like terms: 42 + -27 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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