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Simplifying 5x + -10 = -2(x + 3) + -11 Reorder the terms: -10 + 5x = -2(x + 3) + -11 Reorder the terms: -10 + 5x = -2(3 + x) + -11 -10 + 5x = (3 * -2 + x * -2) + -11 -10 + 5x = (-6 + -2x) + -11 Reorder the terms: -10 + 5x = -6 + -11 + -2x Combine like terms: -6 + -11 = -17 -10 + 5x = -17 + -2x Solving -10 + 5x = -17 + -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 + 5x + 2x = -17 + -2x + 2x Combine like terms: 5x + 2x = 7x -10 + 7x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 7x = -17 + 0 -10 + 7x = -17 Add '10' to each side of the equation. -10 + 10 + 7x = -17 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -17 + 10 7x = -17 + 10 Combine like terms: -17 + 10 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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