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Simplifying 4x + 42 = 8x + -6 Reorder the terms: 42 + 4x = 8x + -6 Reorder the terms: 42 + 4x = -6 + 8x Solving 42 + 4x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 4x + -8x = -6 + 8x + -8x Combine like terms: 4x + -8x = -4x 42 + -4x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -4x = -6 + 0 42 + -4x = -6 Add '-42' to each side of the equation. 42 + -42 + -4x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -6 + -42 -4x = -6 + -42 Combine like terms: -6 + -42 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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