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Simplifying 4x + 12 = -2x + 42 Reorder the terms: 12 + 4x = -2x + 42 Reorder the terms: 12 + 4x = 42 + -2x Solving 12 + 4x = 42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 4x + 2x = 42 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 42 + 0 12 + 6x = 42 Add '-12' to each side of the equation. 12 + -12 + 6x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 42 + -12 6x = 42 + -12 Combine like terms: 42 + -12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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