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Simplifying -8x + -12 = 7x + -42 Reorder the terms: -12 + -8x = 7x + -42 Reorder the terms: -12 + -8x = -42 + 7x Solving -12 + -8x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -8x + -7x = -42 + 7x + -7x Combine like terms: -8x + -7x = -15x -12 + -15x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -15x = -42 + 0 -12 + -15x = -42 Add '12' to each side of the equation. -12 + 12 + -15x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = -42 + 12 -15x = -42 + 12 Combine like terms: -42 + 12 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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