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Simplifying x + 30 = 4x + 42 Reorder the terms: 30 + x = 4x + 42 Reorder the terms: 30 + x = 42 + 4x Solving 30 + x = 42 + 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. 30 + x + -4x = 42 + 4x + -4x Combine like terms: x + -4x = -3x 30 + -3x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -3x = 42 + 0 30 + -3x = 42 Add '-30' to each side of the equation. 30 + -30 + -3x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 42 + -30 -3x = 42 + -30 Combine like terms: 42 + -30 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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