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Simplifying -4x + 42 = -6(x + -6) Reorder the terms: 42 + -4x = -6(x + -6) Reorder the terms: 42 + -4x = -6(-6 + x) 42 + -4x = (-6 * -6 + x * -6) 42 + -4x = (36 + -6x) Solving 42 + -4x = 36 + -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. 42 + -4x + 6x = 36 + -6x + 6x Combine like terms: -4x + 6x = 2x 42 + 2x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 2x = 36 + 0 42 + 2x = 36 Add '-42' to each side of the equation. 42 + -42 + 2x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 36 + -42 2x = 36 + -42 Combine like terms: 36 + -42 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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