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Simplifying -3(x + 5) + -42 = 4 + -34 Reorder the terms: -3(5 + x) + -42 = 4 + -34 (5 * -3 + x * -3) + -42 = 4 + -34 (-15 + -3x) + -42 = 4 + -34 Reorder the terms: -15 + -42 + -3x = 4 + -34 Combine like terms: -15 + -42 = -57 -57 + -3x = 4 + -34 Combine like terms: 4 + -34 = -30 -57 + -3x = -30 Solving -57 + -3x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -3x = -30 + 57 Combine like terms: -57 + 57 = 0 0 + -3x = -30 + 57 -3x = -30 + 57 Combine like terms: -30 + 57 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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