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Simplifying 10x + -7 = 15x + 42 Reorder the terms: -7 + 10x = 15x + 42 Reorder the terms: -7 + 10x = 42 + 15x Solving -7 + 10x = 42 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7 + 10x + -15x = 42 + 15x + -15x Combine like terms: 10x + -15x = -5x -7 + -5x = 42 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -5x = 42 + 0 -7 + -5x = 42 Add '7' to each side of the equation. -7 + 7 + -5x = 42 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 42 + 7 -5x = 42 + 7 Combine like terms: 42 + 7 = 49 -5x = 49 Divide each side by '-5'. x = -9.8 Simplifying x = -9.8
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