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Simplifying 4(x + 8) = 17 + 7x Reorder the terms: 4(8 + x) = 17 + 7x (8 * 4 + x * 4) = 17 + 7x (32 + 4x) = 17 + 7x Solving 32 + 4x = 17 + 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. 32 + 4x + -7x = 17 + 7x + -7x Combine like terms: 4x + -7x = -3x 32 + -3x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -3x = 17 + 0 32 + -3x = 17 Add '-32' to each side of the equation. 32 + -32 + -3x = 17 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 17 + -32 -3x = 17 + -32 Combine like terms: 17 + -32 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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