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Simplifying -42 + -9x = 10x + 15 Reorder the terms: -42 + -9x = 15 + 10x Solving -42 + -9x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -42 + -9x + -10x = 15 + 10x + -10x Combine like terms: -9x + -10x = -19x -42 + -19x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + -19x = 15 + 0 -42 + -19x = 15 Add '42' to each side of the equation. -42 + 42 + -19x = 15 + 42 Combine like terms: -42 + 42 = 0 0 + -19x = 15 + 42 -19x = 15 + 42 Combine like terms: 15 + 42 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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