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Simplifying 2x + 10 = 6x + 42 Reorder the terms: 10 + 2x = 6x + 42 Reorder the terms: 10 + 2x = 42 + 6x Solving 10 + 2x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = 42 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = 42 + 0 10 + -4x = 42 Add '-10' to each side of the equation. 10 + -10 + -4x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 42 + -10 -4x = 42 + -10 Combine like terms: 42 + -10 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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