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Simplifying 6x + 10 = -42 + -7x Reorder the terms: 10 + 6x = -42 + -7x Solving 10 + 6x = -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. 10 + 6x + 7x = -42 + -7x + 7x Combine like terms: 6x + 7x = 13x 10 + 13x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 13x = -42 + 0 10 + 13x = -42 Add '-10' to each side of the equation. 10 + -10 + 13x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = -42 + -10 13x = -42 + -10 Combine like terms: -42 + -10 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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