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Simplifying 11 + -42 = 3x + -3 + -7 Combine like terms: 11 + -42 = -31 -31 = 3x + -3 + -7 Reorder the terms: -31 = -3 + -7 + 3x Combine like terms: -3 + -7 = -10 -31 = -10 + 3x Solving -31 = -10 + 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. -31 + -3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + -3x = -10 + 0 -31 + -3x = -10 Add '31' to each side of the equation. -31 + 31 + -3x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = -10 + 31 -3x = -10 + 31 Combine like terms: -10 + 31 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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