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Simplifying 13 + -7(x + -4) = 7 + -3(5 + x) Reorder the terms: 13 + -7(-4 + x) = 7 + -3(5 + x) 13 + (-4 * -7 + x * -7) = 7 + -3(5 + x) 13 + (28 + -7x) = 7 + -3(5 + x) Combine like terms: 13 + 28 = 41 41 + -7x = 7 + -3(5 + x) 41 + -7x = 7 + (5 * -3 + x * -3) 41 + -7x = 7 + (-15 + -3x) Combine like terms: 7 + -15 = -8 41 + -7x = -8 + -3x Solving 41 + -7x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 41 + -7x + 3x = -8 + -3x + 3x Combine like terms: -7x + 3x = -4x 41 + -4x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 41 + -4x = -8 + 0 41 + -4x = -8 Add '-41' to each side of the equation. 41 + -41 + -4x = -8 + -41 Combine like terms: 41 + -41 = 0 0 + -4x = -8 + -41 -4x = -8 + -41 Combine like terms: -8 + -41 = -49 -4x = -49 Divide each side by '-4'. x = 12.25 Simplifying x = 12.25
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