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Simplifying -3x + 8 = 7x + -42 Reorder the terms: 8 + -3x = 7x + -42 Reorder the terms: 8 + -3x = -42 + 7x Solving 8 + -3x = -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. 8 + -3x + -7x = -42 + 7x + -7x Combine like terms: -3x + -7x = -10x 8 + -10x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -10x = -42 + 0 8 + -10x = -42 Add '-8' to each side of the equation. 8 + -8 + -10x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -42 + -8 -10x = -42 + -8 Combine like terms: -42 + -8 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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