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Simplifying -42 = -6x + 3(3x + -5) Reorder the terms: -42 = -6x + 3(-5 + 3x) -42 = -6x + (-5 * 3 + 3x * 3) -42 = -6x + (-15 + 9x) Reorder the terms: -42 = -15 + -6x + 9x Combine like terms: -6x + 9x = 3x -42 = -15 + 3x Solving -42 = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + -3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + -3x = -15 + 0 -42 + -3x = -15 Add '42' to each side of the equation. -42 + 42 + -3x = -15 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -15 + 42 -3x = -15 + 42 Combine like terms: -15 + 42 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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