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Simplifying 42 + 8.5x = 1.5x + -7 Reorder the terms: 42 + 8.5x = -7 + 1.5x Solving 42 + 8.5x = -7 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 42 + 8.5x + -1.5x = -7 + 1.5x + -1.5x Combine like terms: 8.5x + -1.5x = 7x 42 + 7x = -7 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 42 + 7x = -7 + 0.0 42 + 7x = -7 Add '-42' to each side of the equation. 42 + -42 + 7x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = -7 + -42 7x = -7 + -42 Combine like terms: -7 + -42 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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