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Simplifying 42 = 7x + -1(3x + -8) + -2 Reorder the terms: 42 = 7x + -1(-8 + 3x) + -2 42 = 7x + (-8 * -1 + 3x * -1) + -2 42 = 7x + (8 + -3x) + -2 Reorder the terms: 42 = 8 + -2 + 7x + -3x Combine like terms: 8 + -2 = 6 42 = 6 + 7x + -3x Combine like terms: 7x + -3x = 4x 42 = 6 + 4x Solving 42 = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + -4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -4x = 6 + 0 42 + -4x = 6 Add '-42' to each side of the equation. 42 + -42 + -4x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 6 + -42 -4x = 6 + -42 Combine like terms: 6 + -42 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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