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Simplifying 10x + 2 = -5(x + -6) Reorder the terms: 2 + 10x = -5(x + -6) Reorder the terms: 2 + 10x = -5(-6 + x) 2 + 10x = (-6 * -5 + x * -5) 2 + 10x = (30 + -5x) Solving 2 + 10x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 10x + 5x = 30 + -5x + 5x Combine like terms: 10x + 5x = 15x 2 + 15x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 15x = 30 + 0 2 + 15x = 30 Add '-2' to each side of the equation. 2 + -2 + 15x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 30 + -2 15x = 30 + -2 Combine like terms: 30 + -2 = 28 15x = 28 Divide each side by '15'. x = 1.866666667 Simplifying x = 1.866666667
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