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Simplifying 7x + 6x + 10 = -2x + -35 Reorder the terms: 10 + 7x + 6x = -2x + -35 Combine like terms: 7x + 6x = 13x 10 + 13x = -2x + -35 Reorder the terms: 10 + 13x = -35 + -2x Solving 10 + 13x = -35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 13x + 2x = -35 + -2x + 2x Combine like terms: 13x + 2x = 15x 10 + 15x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 15x = -35 + 0 10 + 15x = -35 Add '-10' to each side of the equation. 10 + -10 + 15x = -35 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -35 + -10 15x = -35 + -10 Combine like terms: -35 + -10 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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