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Simplifying 6x + 42 = 10x + 30 Reorder the terms: 42 + 6x = 10x + 30 Reorder the terms: 42 + 6x = 30 + 10x Solving 42 + 6x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 42 + 6x + -10x = 30 + 10x + -10x Combine like terms: 6x + -10x = -4x 42 + -4x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + -4x = 30 + 0 42 + -4x = 30 Add '-42' to each side of the equation. 42 + -42 + -4x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 30 + -42 -4x = 30 + -42 Combine like terms: 30 + -42 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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