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Simplifying -2(x + 10) = 3(5 + -2x) + 5 Reorder the terms: -2(10 + x) = 3(5 + -2x) + 5 (10 * -2 + x * -2) = 3(5 + -2x) + 5 (-20 + -2x) = 3(5 + -2x) + 5 -20 + -2x = (5 * 3 + -2x * 3) + 5 -20 + -2x = (15 + -6x) + 5 Reorder the terms: -20 + -2x = 15 + 5 + -6x Combine like terms: 15 + 5 = 20 -20 + -2x = 20 + -6x Solving -20 + -2x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + -2x + 6x = 20 + -6x + 6x Combine like terms: -2x + 6x = 4x -20 + 4x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 4x = 20 + 0 -20 + 4x = 20 Add '20' to each side of the equation. -20 + 20 + 4x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 20 + 20 4x = 20 + 20 Combine like terms: 20 + 20 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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