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Simplifying 5x + 6 = -42 + -3x Reorder the terms: 6 + 5x = -42 + -3x Solving 6 + 5x = -42 + -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. 6 + 5x + 3x = -42 + -3x + 3x Combine like terms: 5x + 3x = 8x 6 + 8x = -42 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 8x = -42 + 0 6 + 8x = -42 Add '-6' to each side of the equation. 6 + -6 + 8x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -42 + -6 8x = -42 + -6 Combine like terms: -42 + -6 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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