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Simplifying 42 = 3x + 6(-2x + -8) Reorder the terms: 42 = 3x + 6(-8 + -2x) 42 = 3x + (-8 * 6 + -2x * 6) 42 = 3x + (-48 + -12x) Reorder the terms: 42 = -48 + 3x + -12x Combine like terms: 3x + -12x = -9x 42 = -48 + -9x Solving 42 = -48 + -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. 42 + 9x = -48 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 9x = -48 + 0 42 + 9x = -48 Add '-42' to each side of the equation. 42 + -42 + 9x = -48 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = -48 + -42 9x = -48 + -42 Combine like terms: -48 + -42 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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