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Simplifying -3(2x + -4) = 9x + 42 Reorder the terms: -3(-4 + 2x) = 9x + 42 (-4 * -3 + 2x * -3) = 9x + 42 (12 + -6x) = 9x + 42 Reorder the terms: 12 + -6x = 42 + 9x Solving 12 + -6x = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -6x + -9x = 42 + 9x + -9x Combine like terms: -6x + -9x = -15x 12 + -15x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -15x = 42 + 0 12 + -15x = 42 Add '-12' to each side of the equation. 12 + -12 + -15x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 42 + -12 -15x = 42 + -12 Combine like terms: 42 + -12 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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