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Simplifying -2(3x + 5) = x + -52 Reorder the terms: -2(5 + 3x) = x + -52 (5 * -2 + 3x * -2) = x + -52 (-10 + -6x) = x + -52 Reorder the terms: -10 + -6x = -52 + x Solving -10 + -6x = -52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -6x + -1x = -52 + x + -1x Combine like terms: -6x + -1x = -7x -10 + -7x = -52 + x + -1x Combine like terms: x + -1x = 0 -10 + -7x = -52 + 0 -10 + -7x = -52 Add '10' to each side of the equation. -10 + 10 + -7x = -52 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -52 + 10 -7x = -52 + 10 Combine like terms: -52 + 10 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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