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Simplifying 2(x + 3) + -13(4 + 2x) = -53 + -25x Reorder the terms: 2(3 + x) + -13(4 + 2x) = -53 + -25x (3 * 2 + x * 2) + -13(4 + 2x) = -53 + -25x (6 + 2x) + -13(4 + 2x) = -53 + -25x 6 + 2x + (4 * -13 + 2x * -13) = -53 + -25x 6 + 2x + (-52 + -26x) = -53 + -25x Reorder the terms: 6 + -52 + 2x + -26x = -53 + -25x Combine like terms: 6 + -52 = -46 -46 + 2x + -26x = -53 + -25x Combine like terms: 2x + -26x = -24x -46 + -24x = -53 + -25x Solving -46 + -24x = -53 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -46 + -24x + 25x = -53 + -25x + 25x Combine like terms: -24x + 25x = 1x -46 + 1x = -53 + -25x + 25x Combine like terms: -25x + 25x = 0 -46 + 1x = -53 + 0 -46 + 1x = -53 Add '46' to each side of the equation. -46 + 46 + 1x = -53 + 46 Combine like terms: -46 + 46 = 0 0 + 1x = -53 + 46 1x = -53 + 46 Combine like terms: -53 + 46 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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