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Simplifying -3x + 42 = -6(x + -5) Reorder the terms: 42 + -3x = -6(x + -5) Reorder the terms: 42 + -3x = -6(-5 + x) 42 + -3x = (-5 * -6 + x * -6) 42 + -3x = (30 + -6x) Solving 42 + -3x = 30 + -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 + -3x + 6x = 30 + -6x + 6x Combine like terms: -3x + 6x = 3x 42 + 3x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 3x = 30 + 0 42 + 3x = 30 Add '-42' to each side of the equation. 42 + -42 + 3x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 30 + -42 3x = 30 + -42 Combine like terms: 30 + -42 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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