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Simplifying 4(x + 5) + 8 = -7(x + -5) Reorder the terms: 4(5 + x) + 8 = -7(x + -5) (5 * 4 + x * 4) + 8 = -7(x + -5) (20 + 4x) + 8 = -7(x + -5) Reorder the terms: 20 + 8 + 4x = -7(x + -5) Combine like terms: 20 + 8 = 28 28 + 4x = -7(x + -5) Reorder the terms: 28 + 4x = -7(-5 + x) 28 + 4x = (-5 * -7 + x * -7) 28 + 4x = (35 + -7x) Solving 28 + 4x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 28 + 4x + 7x = 35 + -7x + 7x Combine like terms: 4x + 7x = 11x 28 + 11x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 28 + 11x = 35 + 0 28 + 11x = 35 Add '-28' to each side of the equation. 28 + -28 + 11x = 35 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 35 + -28 11x = 35 + -28 Combine like terms: 35 + -28 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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