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Simplifying 4x + 7 + -4(x + 8) = 4(2 + x) Reorder the terms: 4x + 7 + -4(8 + x) = 4(2 + x) 4x + 7 + (8 * -4 + x * -4) = 4(2 + x) 4x + 7 + (-32 + -4x) = 4(2 + x) Reorder the terms: 7 + -32 + 4x + -4x = 4(2 + x) Combine like terms: 7 + -32 = -25 -25 + 4x + -4x = 4(2 + x) Combine like terms: 4x + -4x = 0 -25 + 0 = 4(2 + x) -25 = 4(2 + x) -25 = (2 * 4 + x * 4) -25 = (8 + 4x) Solving -25 = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -25 + -4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + -4x = 8 + 0 -25 + -4x = 8 Add '25' to each side of the equation. -25 + 25 + -4x = 8 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = 8 + 25 -4x = 8 + 25 Combine like terms: 8 + 25 = 33 -4x = 33 Divide each side by '-4'. x = -8.25 Simplifying x = -8.25
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