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Simplifying 7x + 4(8 + x) = 32 + -3x 7x + (8 * 4 + x * 4) = 32 + -3x 7x + (32 + 4x) = 32 + -3x Reorder the terms: 32 + 7x + 4x = 32 + -3x Combine like terms: 7x + 4x = 11x 32 + 11x = 32 + -3x Add '-32' to each side of the equation. 32 + -32 + 11x = 32 + -32 + -3x Combine like terms: 32 + -32 = 0 0 + 11x = 32 + -32 + -3x 11x = 32 + -32 + -3x Combine like terms: 32 + -32 = 0 11x = 0 + -3x 11x = -3x Solving 11x = -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. 11x + 3x = -3x + 3x Combine like terms: 11x + 3x = 14x 14x = -3x + 3x Combine like terms: -3x + 3x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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