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Simplifying 7(x + 4) + -8 = 3(x + -7) Reorder the terms: 7(4 + x) + -8 = 3(x + -7) (4 * 7 + x * 7) + -8 = 3(x + -7) (28 + 7x) + -8 = 3(x + -7) Reorder the terms: 28 + -8 + 7x = 3(x + -7) Combine like terms: 28 + -8 = 20 20 + 7x = 3(x + -7) Reorder the terms: 20 + 7x = 3(-7 + x) 20 + 7x = (-7 * 3 + x * 3) 20 + 7x = (-21 + 3x) Solving 20 + 7x = -21 + 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. 20 + 7x + -3x = -21 + 3x + -3x Combine like terms: 7x + -3x = 4x 20 + 4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 4x = -21 + 0 20 + 4x = -21 Add '-20' to each side of the equation. 20 + -20 + 4x = -21 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -21 + -20 4x = -21 + -20 Combine like terms: -21 + -20 = -41 4x = -41 Divide each side by '4'. x = -10.25 Simplifying x = -10.25
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