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Simplifying -4x + 5 + -3x = -13(2x + 4) Reorder the terms: 5 + -4x + -3x = -13(2x + 4) Combine like terms: -4x + -3x = -7x 5 + -7x = -13(2x + 4) Reorder the terms: 5 + -7x = -13(4 + 2x) 5 + -7x = (4 * -13 + 2x * -13) 5 + -7x = (-52 + -26x) Solving 5 + -7x = -52 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 5 + -7x + 26x = -52 + -26x + 26x Combine like terms: -7x + 26x = 19x 5 + 19x = -52 + -26x + 26x Combine like terms: -26x + 26x = 0 5 + 19x = -52 + 0 5 + 19x = -52 Add '-5' to each side of the equation. 5 + -5 + 19x = -52 + -5 Combine like terms: 5 + -5 = 0 0 + 19x = -52 + -5 19x = -52 + -5 Combine like terms: -52 + -5 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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