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Simplifying 8x + 42 = 10x + 12 Reorder the terms: 42 + 8x = 10x + 12 Reorder the terms: 42 + 8x = 12 + 10x Solving 42 + 8x = 12 + 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 + 8x + -10x = 12 + 10x + -10x Combine like terms: 8x + -10x = -2x 42 + -2x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + -2x = 12 + 0 42 + -2x = 12 Add '-42' to each side of the equation. 42 + -42 + -2x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 12 + -42 -2x = 12 + -42 Combine like terms: 12 + -42 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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